2025年发表论文

[163] Chenxia Zhao, Anji Yang, Tonghua Zhang, Sanling Yuan*, Dynamics analysis of a coupled fishery-economic model with environmental fluctuations. Chaos, Solitons & Fractals, 2025, 195:116242.

[162] Xun Wang, Sanling Yuan*, Jin Zhao, Energy of steady periodic equatorial water waves in two-layer flows, Applied Mathematics Letters, 2025, 163: 109450.

[161] Tingting Yu, Anji Yang, Tonghua Zhang, Sanling Yuan*, Quantifying the global stability and transition dynamics of a coupled human–environment system via a landscape-flux approach, Chaos: An Interdisciplinary Journal of Nonlinear Science, 2025, 35: 033112.

2024年发表论文

[160] Meng Yuan, Wenxu Ning, Chenxia Zhao, Tonghua Zhang, Sanling Yuan*, Dynamics of a stochastic predator–prey model with disease in predators and Ornstein–Uhlenbeck process, International Journal of Biomathematics, 2024: 2450120.

[159] Shuying Wu, Sanling Yuan*, Guijie Lan, Tonghua Zhang, Understanding the dynamics of hepatitis B transmission: A stochastic model with vaccination and Ornstein-Uhlenbeck process, Applied Mathematics and Computation, 2024, 476: 128766.

[158] Shuying Wu, Sanling Yuan*, Threshold dynamics of a switching diffusion SIR model with logistic growth and healthcare resources, Mathematical Biosciences and Engineering, 2024, 21(4): 5881-5899.

[157] Shuo Yao, Jingen Yang, Sanling Yuan*, Bifurcation analysis in a modified Leslie-Gower predator-prey model with fear effect and multiple delays, Mathematical Biosciences and Engineering, 2024, 21(4): 5658-5685.

[156] Min, Hou, Tonghua Zhang, Sanling Yuan*, Stability and Hopf bifurcation of an intraguild prey-predator fishery model with two delays and Michaelis-Menten type predator harvest, Mathematical Biosciences and Engineering, 2024, 21(4): 5687-5711.

[155] Tiansi Zhang, Lihong Qiu, Dianli Zhao, Sanling Yuan*, Oscillation and survival analysis of generalized stochastic logistic models with piecewise constant argument, Journal of Applied Analysis & Computation, 2024, 14(3): 1522-1542.

[154] Shufei Gao, Sanling Yuan*, Anglu Shen, Hao Wang, Asymptotic and transient dynamics of a stoichiometric algal growth model with two-stage phosphate uptake, SIAM Journal on Applied Mathematics, 2024, 84(4): 1668-1696.

[153] Guijie Lan, Sanling Yuan*, Baojun Song, Threshold behavior and exponential ergodicity of an SIR epidemic model: the impact of random jamming and hospital capacity, Journal of Mathematical Biology, 2024, 88(1): 2. 

[152] Anji Yang, Sanling Yuan*, Tonghua Zhang, Environmental stochasticity driving the extinction of top predators in a food chain chemostat model, Journal of Nonlinear Science, 2024, 34(3): 50.

[151] Cuihua Wang, Sanling Yuan*, Hao Wang, The impact of water storage capacity on plant dynamics in arid environments: A stoichiometric modeling approach, Mathematical Biosciences, 2024, 369: 109147.

[150] Shufei Gao, Hao Wang, Sanling Yuan*, Theory of stoichiometric intraguild predation: algae, ciliate, and Daphnia, Bulletin of Mathematical Biology, 2024, 86(7): 79.       

[149] Shuai Li, Sanling Yuan*, Zhen Jin, Hao Wang, Double Hopf bifurcation induced by spatial memory in a diffusive predator-prey model with Allee effect and maturation delay of predator, Communications in Nonlinear Science and Numerical Simulation, 2024, 132: 107936.

[148] Anglu Shen, Shufei Gao, Jie Jiang, Qingjing Hu, Hao Wang, Sanling Yuan*, Oscillations of algal cell quota: Considering two-stage phosphate uptake kinetics, Journal of Theoretical Biology, 2024, 581: 111739.

[147] Shufei Gao, Sanling Yuan*, Dynamics of a tri-trophic level model with excess food nutrient content and intraguild predation structure, Journal of Biological Systems, 2024, 32(3): 1133-1168.

[146] Shuying Wu, Sanling Yuan*, Guijie Lan, Tonghua Zhang, Understanding the dynamics of hepatitis B transmission: A stochastic model with vaccination and Ornstein-Uhlenbeck process, Applied Mathematics and Computation, 2024, 476: 128766.  

2023年发表论文

[145] Shuai Li, Sanling Yuan*, Zhen Jin, Hao Wang, Bifurcation analysis in a diffusive predator-prey model with spatial memory of prey, Allee effect and maturation delay of predator, Journal of Differential Equations, 2023, 357: 32-63.

[144] Tingting Yu, Sanling Yuan*, Dynamic analysis of a stage-structured forest population model with non-smooth continuous threshold harvesting, Applied Mathematical Modelling, 2023, 120: 1-24.

[143] Shengqiang Zhang, Xichao Duan, Tonghua Zhang, Sanling Yuan*, Controlling biological invasions: A stochastic host-generalist parasitoid model, Bulletin of Mathematical Biology, 2023, 85(1): 2.

[142] Cuihua Wang, Hao Wang, Sanling Yuan*, Complex bifurcations and noise-induced transitions: a predation model with fear effect in prey and crowding effect in predators, Discrete and Continuous Dynamical Systems-Series B, 2023, 28(7): 3837-3867.

[141] Tingting Yu, Sanling Yuan*, Dynamics of a stochastic turbidostat model with sampled and delayed measurements, Mathematical Biosciences and Engineering, 2023, 20(4): 6215-6236. 

[140] Mengya Huang, Anji Yang, Sanling Yuan*, Tonghua Zhang, Stochastic sensitivity analysis and feedback control of noise-induced transitions in a predator-prey model with anti-predator behavior, Mathematical Biosciences and Engineering, 2023, 20(2): 4219-4242.

[139] Anglu Shen, Shufei Gao, Christopher M. Heggerud, Hao Wang, Zengling Ma, Sanling Yuan*, Fluctuation of growth and photosynthetic characteristics in Prorocentrum shikokuense under phosphorus limitation: Evidence from field and laboratory, Ecological Modelling, 2023, 479: 110310. 

[138] Xichao Duan, Sanling Yuan*, Maia Martcheva, Habitat adaption promotes the evolution of predator species, Zeitschrift für angewandte Mathematik und Physik ZAMP, 2023, 74(1): 10.

[137] Guijie Lan, Sanling Yuan*, Geometric ergodicity and Ω-limit set of an SIRm epidemic model with regime switching, Chaos, Solitons & Fractals, 2023, 170: 113302.

[136] Guijie Lan, Sanling Yuan*, Polynomial ergodicity of an SIRS epidemic model with density-dependent demographics, Studies in Applied Mathematics, 2023, 151(3): 1072-1096.

[135] Shuai Li, Sanling Yuan*, Double Hopf bifurcation induced by gestation and memory delays in a spatial model with directed movement, Applied Mathematics Letters, 2023, 145: 108754.

[134] Cuihua Wang, Hao Wang, Sanling Yuan*, Precipitation governing vegetation patterns in an arid or semi-arid environment, Journal of Mathematical Biology, 2023, 87(1): 22.

[133] Jing Xu, Sanling Yuan*, Near-optimal control of a stochastic pine wilt disease model with prevention strategies, Mathematical Methods in the Applied Sciences, 2023, 46(13): 13855-13881.

[132] Anji Yang, Hao Wang, Sanling Yuan*, Tipping time in a stochastic Leslie predator-prey model, Chaos, Solitons & Fractals, 2023, 171: 113439.

[131] Guijie Lan, Baojun Song, Sanling Yuan*, Epidemic threshold and ergodicity of an SEIR model with vertical transmission under the telegraph noise, Chaos, Solitons & Fractals, 2023, 167: 113017.

[130] Yingjie Fei, Shenglong Yang, Mengya Huang, Xiaomei Wu, Zhenzhen Yang, Jiangyue Zhao, Fenghua Tang, Wei Fan*, Sanling Yuan*, Evaluating suitability of fishing areas for squid-jigging vessels in the Northwest Pacific Ocean derived from AIS data, Fishes, 2023, 8(10): 530. 

[129] Shenglong Yang, Yingjie Fei, Linlin Yu, Fenghua Tang, Shengmao Zhang, Tianfei Cheng, Wei Fan*, Sanling Yuan*, Heng Zhang, Keji Jiang, The environmental niche of the squid-jigging fleet in the North Pacific Ocean based on automatic identification system data, Ecological Indicators, 2023, 155: 110934.

[128] Shuai Li, Sanling Yuan*, Hao Wang, Disease transmission dynamics of an epidemiological predator-prey system in open advective environments, Discrete and Continuous Dynamical Systems-Series B, 2023, 28(2): 1480-1502.

2022年发表论文

[127] Lifan Chen, Xingwang Yu*, Sanling Yuan, Effects of Random Environmental Perturbation on the Dynamics of a Nutrient–Phytoplankton–Zooplankton Model with Nutrient Recycling, Mathematics, 2022, 10: 3783.

[126] Jing Xu, Zhensheng Yu, Tonghua Zhang, Sanling Yuan*, Near-optimal control of a stochastic model for mountain pine beetles with pesticide application, Studies in Applied Mathematics, 2022, 149: 678-704.

[125] Shengnan Zhao, Sanling Yuan*, Tonghua Zhang, The impact of environmental fluctuations on a plankton model with toxin-producing phytoplankton and patchy agglomeration, Chaos, Solitons & Fractals, 2022, 162: 112426.

[124] Shuai Li, Jin Zhou, Sanling Yuan*, Critical bait casting threshold of cage culture in open advective environments, Applied Mathematics Letters, 2022, 134: 108312.

[123] Shengqiang Zhang, Sanling Yuan*, Tonghua Zhang, Dynamic analysis of a stochastic eco-epidemiological model with disease in predators, Studies in Applied Mathematics, 2022, 149: 5-42.

[122] Shenglong Yang, Han Zhang, Wei Fan1, Huimin Shi, Yingjie Fei, Sanling Yuan*, Behaviour impact analysis of tuna purse seiners in the western and central Pacific based on the BRT and GAM models, Frontiers in Marine Science-Marine Conservation and Sustainability, 2022, 9: 881036.

[121] Tingting Yu, Tonghua Zhang, Sanling Yuan*, Dynamic analysis of a size-structured model describing insect destruction in forests, Chaos, Solitons & Fractals, 2022, 159: 112116.

[120] Shengnan Zhao, Sanling Yuan*, Hao Wang, Adaptive dynamics of a stoichiometric phosphorus-algae-zooplankton model with environmental fluctuations, Journal of Nonlinear Science, 2022, 32: 36.    

[119] Yingjie Fei, Shenglong Yang, Wei Fan, Huimin Shi, Han Zhang, Sanling Yuan*,  Relationship between the Spatial and Temporal Distribution of Squid-Jigging Vessels Operations and Marine Environment in the North Pacific Ocean, Journal of Marine Science and Engineering, 2022, 10: 550.

[118] Anji Yang, Hao Wang, Tonghua Zhang, Sanling Yuan*, Stochastic switches of eutrophication and oligotrophication: modeling extreme weather via non-Gaussian Lévy noise, Chaos: An Interdisciplinary Journal of Nonlinear Science, 2022, 32: 043116.

[117] Shufei Gao, Jie Jiang, Anglu Shen, Hao Wang, Sanling Yuan*, Kinetics of phosphate uptake in the dinoflagellate Karenia mikimotoi in response to P-stress and temperature, Ecological Modelling, 2022, 468: 109909.

[116] Shuai Li, Chengdai Huang, Sanling Yuan*, Hopf Bifurcation of a fractional-order double-ring tructured neural network model with multiple communication delays, Nonlinear Dynamics, 2022, 108(1): 379-396.  

[115] Cuihua Wang, Sanling Yuan*, Hao Wang, Spatiotemporal patterns of a diffusive prey-predator model with spatial memory and pregnancy period in an intimidatory environment, Journal of Mathematical Biology, 2022, 84(3): 12.   

[114] Shengnan Zhao, Sanling Yuan*, A coral reef benthic system with grazing intensity and immigrated macroalgae in deterministic and stochastic environments, Mathematical Biosciences and Engineering, 2022, 19(4): 3449-3471.

[113] Shengqiang Zhang, Sangling Yuan*, Tonghua Zhang, A predator-prey model with different response functions to juvenile and adult prey in deterministic and stochastic environments, Applied Mathematics and Computation, 2022, 413(15): 126598.

[112] Tianfang Hou, Guijie Lan, Sanling Yuan*, Threshold dynamics of a stochastic SIHR epidemic model of COVID-19 with general population-size dependent contact rate, Mathematical Biosciences and Engineering, 2022, 19(4): 4217-4236.

[111] Xichao Duan*, Xiaosa Sun, Sanling Yuan, Dynamics of an immune-epidemiological model with virus evolution and superinfection, Journal of the Franklin Institute, 2022, 359(7): 3210-3237.

[110] Xichao Duan*, Xuezhi Li*, Maia Martcheva*, Sanling Yuan, Using an age-structured COVID-19 epidemic model and data to model virulence evolution in Wuhan, China, Journal of Biological Dynamics, 2022, 16(1): 14-28.

2021年发表论文

[109] Tingting Yu, Sanling Yuan*, Tonghua Zhang, The effect of delay interval on the feedback control for a turbidostat model, Journal of the Franklin Institute, 2021, 358(15): 7628-7649.

[108] Yangtai Liu,  Qingli Dong,  Xiang Wang,  Baolin Liu*,  Sanling Yuan*, Analysis and probabilistic simulation of Listeria monocytogenes inactivation in cooked beef during unsteady heating, International Journal of Food Science & Technology, 2021, 56(5): 2282-2290.

[107] Jingen Yang, Sanling Yuan*, Tonghua Zhang, Complex dynamics of a predator-prey system with herd and schooling behavior: with or without delay and diffusion, Nonlinear Dynamics, 2021, 104(2): 1709-1735.

[106] Yangtai Liu, Xiang Wang, Baolin Liu, Sanling Yuan, Xiaojie Qin, Qingli Dong*, Microrisk Lab: An Online Freeware for Predictive Microbiology, Foodborne Pathogens and Disease, 2021, 18(8): 607-615.

[105] Han Zhang, Shenglong Yang, Wei Fan, Huimin Shi, Sanling Yuan*, Spatial analysis of the fishing behaviour of tuna purse seiners in the Western and Central Pacific based on vessel trajectory date, Journal of Marine Science and Engineering, 2021, 9: 322.

[104] Jingen Yang, Sanling Yuan*, Dynamics of a toxic producing phytoplankton-zooplankton model with three-dimensional patch, Applied Mathematics Letters, 2021, 118: 107146.

[103] Guijie Lan, Sanling Yuan*, Baojun Song, The impact of hospital resources and environmental perturbations to the dynamics of SIRS model, Journal of the Franklin Institute, 2021, 358(4): 2405-2433.

[102] Yingying Wei, Baojun Song, Sanling Yuan*, Dynamics of a ratio-dependent population model for Green Sea Turtle with age structure, Journal of Theoretical Biology, 2021, 516: 110614.

[101] Shengqiang Zhang, Tonghua Zhang, Sangling Yuan*, Dynamics of a stochastic predator-prey model with habitat complexity and prey aggregation, Ecological Complexity, 2021, 45: 100889.  

[100] Chaoqun Xu, Sanling Yuan*, Competition exclusion in a general multi-species chemostat model with stochastic perturbations, Bulletin of Mathematical Biology, 2021, 83(1): 4.

[99] Xichao Duan*, Huanhuan Cheng, Maia Martcheva, Sanling Yuan, Dynamics of an Age Structured Heroin Transmission Model with Imperfect Vaccination, International Journal of Bifurcation and Chaos, 2021, 31(10): 2150157.

2020年发表论文

[98] Anji Yang, Baojun Song, Sanling Yuan*, Noise-induced transitions in a non-smooth SIS epidemic model with media alert, Mathematical Biosciences and Engineering, 2020, 18(1): 745-763.

[97] Changyong Xu, Qiang Li, Tonghua Zhang, Sanling Yuan*, Stability and Hopf Bifurcation for a Delayed Diffusive Competition Model with Saturation Effect, Mathematical Biosciences and Engineering, 2020, 17(6): 8037-8051.

[96] Shuixian Yan, Sanling Yuan*, Critical value in a SIR network model with heterogeneous infectiousness and susceptibility, Mathematical Biosciences and Engineering, 2020, 17(5): 5802-5811.

[95] Yixiu Xia, Sanling Yuan*, Survival analysis of a stochastic predator-prey model with prey refuge and fear effect, Journal of Biological Dynamics, 2020, 14(1): 871-892

[94] Chaoqun Xu, Sanling Yuan*, Richards Growth Model Driven by Multiplicative and Additive Colored Noises: Steady-State Analysis, Fluctuation and Noise Letters, 2020, 19(4): 2050032.

[93] Sanling Yuan*, Dongmei Wu, Guijie Lan, Hao Wang, Noise-induced transitions in a nonsmooth predator-prey model with stoichiometric constraints, Bulleting of Mathematical Biology, 2020, 82(5): 55.

[92] Jingen Yang, Tonghua Zhang, Sanling Yuan*, Turing pattern induced by cross-diffusion in a predator-prey model with pack predation-herd behavior, International Journal of Bifurcation and Chaos, 2020, 30(7): 2050103.

[91] Xingwang Yu, Sanling Yuan*, Asymptotic properties of a stochastic chemostat model with two distributed delays and nonlinear perturbation, Discrete and Continuous Dynamical Systems-B, 2020, 25(7): 2373-2390.

[90] Shengnan Zhao, Hao Wang, Sanling Yuan*, Threshold behavior in a stochastic algal growth model with stoichiometric constraints and seasonal variation, Journal of Differential Equations, 2020, 268: 5113-5139.

[89] Dianli Zhao*, Sanling Yuan, Noise-induced bifurcations in the stochastic chemostat model with general nutrient uptake functions, Applied Mathematics Letters, 2020, 103: 106180.

[88] Shuixian Yan, Dongxue Jia, Tonghua Zhang, Sanling Yuan*, Pattern dynamics in a diffusive predator-prey model with hunting cooperations, Chaos, Solitons and Fractals, 2020, 130: 109428.

[87] Dianli Zhao*, Haidong Liu, Yanli Zhou, Sanling Yuan, Quadratic harvesting dominated optimal strategy for stochastic single-species model, Journal of Applied Analysis & Computation, 2020, 10(4): 1256-1266.

[86] Fengru Wei, Cuihua Wang, Sanling Yuan*, Spatial Dynamics of a Diffusive Predator-prey Model with Leslie-Gower Functional Response and Strong Allee Effect, Journal of Nonlinear Modeling and Analysis, 2020, 2(2): 269-287.

2019年发表论文

[85] Xingwang Yu, Sanling Yuan*, Tonghua Zhang, Asymptotic properties of stochastic nutrient-plankton food chain models with nutrient recycling, Nonlinear Analysis: Hybrid Systems, 2019, 34: 209-225.

[84] Yu Zhao, Liang You, Daniel Burkow, Sanling Yuan*, Optimal harvesting strategy of a stochastic inshore-offshore hairtail fishery model driven by Lévy jumps in a polluted environment, Nonlinear Dynamics, 2019, 95(2): 1529-1548.

[83] Dianli Zhao*, Sanling Yuan, Haidong Liu, Stochastic Dynamics of the delayed chemostat with Lévy noises, International Journal of Biomathematics, 2019, 12(5): 1950056.

[82] Dongxue Jia, Tonghua Zhang, Sanling Yuan*, Pattern dynamics of a diffusive toxin producing phytoplankton-zooplankton model with three-dimensional patch, International Journal of Bifurcation and Chaos, 2019, 29(4): 1930011.

[81] Dongmei Wu, Hao Wang, Sanling Yuan*, Stochastic sensitivity analysis of noise-induced transitions in a predator-prey model with environmental toxins, Mathematical Biosciences and Engineering, 2019, 16(4): 2141–2153.

[80] Jie Jiang, Anglu Shen, Hao Wang, Sanling Yuan*, Regulation of phosphate uptake kinetics in the bloom-forming dinoflagellates Prorocentrum donghaiense with emphasis on two-stage dynamic process, Journal of Theoretical Biology, 2019, 463: 12–21.

[79] Xingwang Yu, Sanling Yuan*, Tonghua Zhang, Survival and ergodicity of a stochastic phytoplankton-zooplankton model with toxin producing phytoplankton in an impulsive polluted environment, Applied Mathematics and Computation, 2019, 347: 249–264.

[78] Qiang Li, Sanling Yuan*, Cross-Diffusion Induced Turing Instability for a Competition Model with Saturation Effect, Applied Mathematics and Computation, 2019, 347: 64–77.

[77] Dianli Zhao*, Sanling Yuan, Threshold dynamics of the stochastic epidemic model with jump-diffusion infection force, Journal of Applied Analysis and Computation, 2019, 9(2): 440-451.

[76] Xuehui Ji, Sanling Yuan*, Tonghua Zhang, Huaiping Zhu, Stochastic modeling of algal bloom dynamics with delayed nutrient recycling, Mathematical Biosciences and Engineering, 2019, 16(1): 1–24. 

2018年发表论文

[75] Chaoqun Xu, Sanling Yuan*, Tonghua Zhang, Confidence domain in the stochastic competition chemostat model with feedback control, Applied Mathematics-A Journal of Chinese Universities, 2018, 33(4): 379-389. 

[74] Xingwang Yu, Sanling Yuan*, Tonghua Zhang, About the optimal harvesting of a fuzzy predator-prey system: A bioeconomic model incorporating a prey refuge and predator mutual interference, Nonlinear Dynamics, 2018, 94: 2143-2160.

[73] Juan M. Jaramillo Reina, Junling Ma*, P. van den Driessche, Sanling Yuan, Host contact structure is important for the recurrence of influenza A, Journal of Mathematical Biology, 2018, 77: 1563-1588.

[72] Dianli Zhao*, Sanling Yuan, Sharp conditions for the existence of a stationary distribution in one classical stochastic chemostat, Applied Mathematics and Computation, 2018, 339:  199-205.

[71] Yu Zhao, Liping Zhang, Sanling Yuan*, The effect of media coverage on threshold dynamics for a stochastic SIS epidemic model, Physica A: Statistical Mechanics and its Applications, 2018, 512: 248-260. 

[70] Chaoqun Xu, Sanling Yuan*, Tonghua Zhang, Sensitivity analysis and feedback control of noise-induced extinction for competition chemostat model with mutualism, Physica A: Statistical Mechanics and its Applications, 2018, 505: 891-902. 

[69] Chaoqun Xu, Sanling Yuan*, Tonghua Zhang, Average break-even concentration in a simple chemostat model with telegraph noise, Nonlinear Analysis: Hybrid Systems, 2018, 29: 373-382. 

[68] Dianli Zhao*, Sanling Yuan, Haidong Liu, Random periodic solution for a stochastic SIS epidemic model with constant population size, Advances in Difference Equations, 2018, 2018: 64.

[67] Xingwang Yu, Sanling Yuan*, Tonghua Zhang, The effects of toxin producing phytoplankton and environmental fluctuations on the planktonic blooms, Nonlinear Dynamics, 2018, 91: 1653-1668.

[66] Shuixian Yan, Yu Zhang, Junling Ma, Sanling Yuan*, An edge-based SIR model for sexually transmitted diseases on the contact network, Journal of Theoretical Biology, 2018, 439: 216–225.

[65] Xingwang Yu, Sanling Yuan*, Tonghua Zhang, Persistence and ergodicity of a stochastic single species model with Allee effect under regime switching, Communications in Nonlinear Science and Numerical Simulation, 2018, 59: 359-374.

2017年发表论文

[64] Yu Zhao, Mingtao Li, Sanling Yuan*, Analysis of Transmission and Control of Tuberculosis in Mainland China, 2005-2016, Based on the Age-Structure Mathematical Model, International Journal of Environmental Research and Public Health, 2017, 14: 1192.

[63] Xuehui Ji, Sanling Yuan*, Jiao Li, Stability of a stochastic SEIS model with saturation incidence and latent period, Journal of Applied Analysis and Computation, 2017, 7(4): 1652-1673.

[62] Sanling Yuan*, Xuehui Ji, Huaiping Zhu, Asymptotic behavior of a delayed stochastic logistic model with impulsive perturbations, Mathematical Biosciences and Engineering, 2017, 14: 1477-1498.

[61] Yu Zhao, Sanling Yuan*, Optimal harvesting policy of a stochastic two-species competitive model with Levy noise in a polluted environment, Physica A: Statistical Mechanics and its Applications, 2017, 477: 20-33.

[60] Yu Zhao, Sanling Yuan*, Tonghua Zhang, Stochastic periodic solution of a non-autonomous toxic-producing phytoplankton allelopathy model with environmental fluctuation, Communications in Nonlinear Science and Numerical Simulation, 2017, 44: 266-276.

[59] Xichao Duan, Sanling Yuan*, Global dynamics of an age-structured virus model with saturation effects, Mathematical Methods in Applied Sciences, 2017, 40: 1851-1864.

[58] Dianli Zhao*, Sanling Yuan, Break-even concentration and periodic behavior of a stochastic chemostat model with seasonal fluctuation, Communications in Nonlinear Science and Numerical Simulation, 2017, 46: 62-73.

[57] Dianli Zhao*, Sanling Yuan, Dynamics of delayed stochastic predator-prey models with feedback controls based on discrete observations, International Journal of Biomathematics, 2017, 10(3): 1750040.

2016年发表论文

[56] Dianli Zhao*, Sanling Yuan*, Persistence and stability of the disease-free equilibrium in a stochastic epidemic model with imperfect vaccine, Advances in Difference Equations, 2016, 2016: 280.

[55] Chaoqun Xu, Sanling Yuan*, Competition in the chemostat: a stochastic multi-species model and its asymptotic behavior, Mathematical Biosciences, 2016, 280: 1-9.

[54] Chaoqun Xu, Sanling Yuan*, Tonghua Zhang, Global dynamics of a predator-prey model with defence mechanism for prey, Applied Mathematics Letters, 2016, 62: 42-48.

[53] Chaoqun Xu, Sanling Yuan*, Tonghua Zhang, Stochastic sensitivity analysis for a competition turbidostat model with inhibitory nutrient, International Journal of Bifurcation and Chaos, 2016, 26(10): 1650173.

[52] Xichao Duan, Sanling Yuan*, Kaifa Wang, Dynamics of a diffusive age-structured HBV model with saturating incidence, Mathematical Biosciences and Engineering, 2016, 13(5): 935-968.

[51] Dianli Zhao*, Sanling Yuan, Dynamics of the stochastic Leslie–Gower predator–prey system with randomized intrinsic growth rate, Physica A: Statistical Mechanics and its Applications, 2016, 461: 419-428.

[50] Xuehui Ji, Sanling Yuan*, Huaiping Zhu, Analysis of a stochastic model for algal bloom with nutrient recycling, International Journal of Biomathematics, 2016, 8(3): 1650083.

[49] Yu Zhao, Sanling Yuan*, Qimin Zhang, The effect of Lévy noise on the survival of a stochastic competitive model in an impulsive polluted environment, Applied Mathematical Modelling, 2016, 40: 7583-7600.

[48] Yu Zhao, Sanling Yuan*, Stability in distribution of a stochastic hybrid competitive Lotka-Volterra model with Lévy jumps, Chaos, Solitons & Fractals, 2016, 85: 98-109.

[47] Yu Zhao, Sanling Yuan*, Tonghua Zhang, The stationary distribution and ergodicity of a stochastic phytoplankton allelopathy model under regime switching, Communications in Nonlinear Science and Numerical Simulation, 2016, 37: 131-142.

[46] Sanling Yuan, P. van den Driessche, Frederick H. Willeboordse, Zhisheng Shuai, Junling Ma*, Disease Invasion Risk in a Growing Population, Journal of Mathematical Biology, 2016, 73: 665-681. 

[45] Dianli Zhao*, Sanling Yuan, Critical result on the break-even concentration in a single-species stochastic chemostat model, Journal of Mathematical Analysis and Applications, 2016, 434(2): 1336-1345.

[44] Yanli Zhou*, Sanling Yuan, Dianli Zhao, Threshold behavior of a stochastic SIS model with Lévy jumps, Applied Mathematics and Computation, 2016, 275: 255-267.

[43] Dianli Zhao*, Tiansi Zhang, Sanling Yuan, The threshold of a stochastic SIVS epidemic model with nonlinear saturated incidence, Physica A: Statistical Mechanics and its Applications, 2016, 443(1): 372-379.

2015年发表论文

[42] Xichao Duan, Xuezhi Li, S. Bhattacharya, Sanling Yuan, Analysis of an Age-Structured Epidemic Model with Differential Infectivity, Universal Journal of Applied Mathematics & Computation, 2015, 3: 16-36.

[41] Chaoqun Xu, Sanling Yuan*, Spatial periodic solutions in a delayed diffusive predator–prey model with herd behavior, International Journal of Bifurcation and Chaos, 2015, 25 (11):   1550155.

[40] Chaoqun Xu, Sanling Yuan*, An analogue of break-even concentration in a simple stochastic chemostat model, Applied Mathematics Letters, 2015, 48: 62-68.

[39] Yu Zhao, Sanling Yuan*, Junling Ma, Survival and Stationary Distribution Analysis of a Stochastic Competitive Model of Three Species in a Polluted Environment, Bulletin of Mathematical Biology, 2015, 77: 1285-1326.

[38] Yu Zhao, Sanling Yuan*, Qimin Zhang, Numerical solution of a fuzzy stochastic single-species age-structure model in a polluted environment, Applied Mathematics and Computation, 2015, 260: 385-396.  

[37] Xuehui Ji, Sanling Yuan*, Lansun Chen, A pest control model with state-dependent impulses, International Journal of Biomathematics, 2015, 8: 1550009.

2014年发表论文

[36] Dianli, Zhao*, Sanling Yuan, A note on persistence and extinction of a randomized food-limited logistic population model, Applied Mathematics and Computation, 2014, 244: 599-607.

[35] Yanli Zhou*, Weiguo Zhang, Sanling Yuan, Survival and stationary distribution of a SIR epidemic model with stochastic perturbations, Applied Mathematics and Computation, 2014, 244: 118-131.

[34] Xichao Duan, Sanling Yuan*, Zhipeng Qiu, Junling Ma, Global stability of an SVEIR epidemic model with ages of vaccination and latency, Computers and Mathematics with Applications, 2014, 68: 288-308.

[33] Dianli Zhao*, Sanling Yuan, Tiansi Zhang, Improved stability conditions for a class of stochastic Volterra-Levin equations, Applied Mathematics and Computation, 2014, 231: 39-47.

[32] Yanli Zhou*, Weiguo Zhang, Sanling Yuan, Hongxiao Hu, Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate, Electronic Journal of Differential Equations, 2014, 2014: 42.

[31] Chaoqun Xu, Sanling Yuan*, Stability and Hopf bifurcation in a delayed predator-prey system with herd behavior, Abstract and Applied Analysis, 2014, 2014: 568943.

[30] Xuehui Ji, Sanling Yuan*, Dynamics of a stochastic functional system for wastewater treatment, Abstract and Applied Analysis, 2014, 2014: 831573.  

[29] Xichao Duan, Sanling Yuan*, Xuezhi Li, Global stability of an SVIR model with age of vaccination, Applied Mathematics and Computation, 2014, 226: 528-540.

[28] Dianli Zhao*, Sanling Yuan, 3/2-stability conditions for a class of Volterra-Levin equations, Nonlinear Analysis-Theory Methods & Applications, 2014, 94: 1-11.

2013年之前发表论文

[27] Sanling Yuan*, Chaoqun Xu, Tonghua Zhang, Spatial dynamics in a predator-prey model with herd behavior, Chaos: An Interdisciplinary Journal of Nonlinear Science, 2013, 23: 033102.  

[26] Yanli Zhou, Weiguo Zhang, Sanling Yuan*, Survival and Stationary Distribution in a Stochastic SIS Model, Discrete Dynamics in Nature and Society, 2013, 2013: 592821.

[25] Chaoqun Xu, Sanling Yuan*, Tonghua Zhang, Asymptotic behavior of a chemostat model with stochastic perturbation on the dilution rate, Abstract and Applied Analysis, 2013, 2013:  423154.

[24] Sanling Yuan*, Tonghua Zhang, Dynamics of a plasmid chemostat model with periodic nutrient input and delayed nutrient recycling, Nonlinear Analysis: Real World Applications, 2012, 13: 2104-2119.

[23] Sanling Yuan*, Yu Zhao, Anfeng Xiao, Tonghua Zhang, Bifurcation and chaos in a pulsed plankton model with instantaneous nutrient recycling, Rocky Mountain Journal of Mathematics, 2012, 42: 1387-1409.

[22] Sanling Yuan*, Pan Li, Yongli Song, Delay induced oscillations in a turbidostat with feedback control, Journal of Mathematical Chemistry, 2011, 49: 1646-1666.

[21] Bo Li, Sanling Yuan*, Weiguo Zhang, Analysis on an epidemic model with a ratio-dependent nonlinear incidence rate, International Journal of Biomathematics, 2011, 4: 227-239.  

[20] Sanling Yuan*, Weiguo Zhang, Yu Zhao, Bifurcation analysis of a model of plasmid-bearing, plasmid-free competition in a pulsed chemostat with an internal inhibitor, IMA Journal of Applied Mathematics, 2011, 76: 277−297.

[19] Sanling Yuan*, Yongli Song, Junhui Li, Oscillations in a plasmid turbidostat model with delayed feedback control, Discrete and Continuous Dynamical Systems-Series B, 2011, 15:  809-914.

[18] Sanling Yuan*, Pan Li, Stability and direction of Hopf bifurcations in a pair of identical tri-neuron network loops, Nonlinear Dynamics, 2010, 61: 569-578. 

[17] Xiangzheng Li*, Weiguo Zhang, Sanling Yuan, LS method and qualitative analysis of traveling wave solutions of Fisher equation, Acta Physica Sinica, 2010, 52(2): 744-749.

[16] Sanling Yuan*, Yongli Song, Bifurcation and stability analysis for a delayed Leslie–Gower predator–prey system, IMA Journal of Applied Mathematics, 2009, 74: 574-603.

[15] Sanling Yuan*, Weiguo Zhang, Maoan Han, Global asymptotic behavior in chemostat-type competition models with delay, Nonlinear Analysis: Real World Applications, 2009, 10: 1305-1320.

[14] Sanling Yuan*, Bo Li, Global dynamics of an epidemic model with a ratio-dependent nonlinear incidence rate, Discrete Dynamics in Nature and Society, 2009, 2009: 609306.

[13] Sanling Yuan*, Yu Zhao, Competition between plasmid-bearing and plasmid-free organisms in a chemostat with pulsed input and washout, Mathematical Problems in Engineering, 2009,  2009: 204632. 

[12] Jianmei Luo, Sanling Yuan*, Weiguo Zhang, Competition between two microorganisms in the chemostat with general variable yields and general growth rates, International Journal of Biomathematics, 2008, 1(4): 463-474. 

[11] Yongli Song, Sanling Yuan*, Bifurcation analysis for a regulated logistic growth model, Applied Mathematical Modelling, 2007, 31: 1729–1738. 

[10] Sanling Yuan*, Dongmei Xiao, Maoan Han, Competition between plasmid-bearing and plasmid-free organisms in a chemostat with nutrient recycling and an inhibitor, Mathematical Biosciences, 2006, 202: 1-28.

[9] Yongli Song*, Sanling Yuan, Bifurcation analysis in a predator–prey system with time delay, Nonlinear Analysis: Real World Applications, 2006, 7: 265-284.

[8] Sanling Yuan*, Zhien Ma, Maoan Han, Global Stability on an SIS Epidemic Model with Time Delays, Acta Mathematica Scientia A, 2005, 25(3): 349-356.

[7] Sanling Yuan*, Maoan Han, Bifurcation analysis of a chemostat model with two distributed delays, Chaos, Solitons and Fractals, 2004, 20: 995-1004.

[6] Sanling Yuan*, Yongli Song, Maoan Han, Direction and stability of bifurcating periodic solutions of a chemostat model with two distributed delays, Chaos, Solitons and Fractals, 2004, 21: 1109-1123.

[5] Sanling Yuan*, Maoan Han, Zhien Ma, Competition in the chemostat: convergence of a model with delayed response in growth, Chaos, Solitons and Fractals, 2003, 17: 659-667.

[4] Sanling Yuan*, Zhien Ma, Zhen Jin, Persistence and periodic solution on a non-autonomous SIS Model with delays, Acta Mathematicae Applicatae Sinica, 2003, 19: 1-10.

[3] Sanling Yuan*, Litao Han, Zhien Ma, Analysis of an SIS epidemiologic model with variable population size and a delay, Applied Mathematics-A Journal of Chinese Universities, 2003, 18: 9-16.

[2] Sanling Yuan*, Zhien Ma, Study on an SIS epidemic model with time variant delay, System Science and Complexity, 2002, 15: 299-306.

[1] Sanling Yuan*, Zhien Ma, Global stability and Hopf bifurcation of an SIS epidemic model with time delays, System Science and Complexity, 2001, 14: 327-336.