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副教授
杨俊元

杨俊元,博士,副教授、硕士生导师。2011年7月毕业于北京信息与控制研究所系统工程专业,2016年6月进入山西大学复杂系统研究所工作。主持国家自然科学基金项目3项,发表文章60余篇,其中SCI论文30篇。

研究方向:传染病动力学、博弈论与复杂网络。
研究内容:结构性传染病建模与研究、进化博弈策略选择、非马尔可夫网络传染病建模与数学方法。

所授课程:高等数学 (授课对象:本科生)。

                

主持项目

国家自然基金天元基金项目名称:具有年龄结构肺结核建模和控制研究;项目批准号:11226258;执行年限:2013.1-2013.12;经费:3万元;

国家自然科学基金青年科学基金项目名称:具有年龄结构多菌株传染病建模与最优控制研究;项目批准号:61203228;执行年限:2013.01-2015.12;经费:24万元;

国家自然基金面上基金项目名称:多菌株传染病模型动态博弈策略研究;项目批准号:61573016;执行年限:2016.1-2019.12;经费:48万元。

发表论文 (Publications, Corresponding author*, First authour#):

2018年

[1] Junyuan Yang*#, Fei Xu, Global stability of two SIS mean-field epidemic models on complex networks: Lyapunov approach,  Journal of Franklin Institute, 355(2018),6763-6779.

[2] Toshikazu Kuniya, Hisashi Inaba, Junyuan Yang, Global behavior of SIS epidemic models with age structure and spatial heterogeneity, Japan J. Indust. Appl. Math. 35(2018), 669–706.

[3] Xiaoyan Wang, Junyuan Yang, Fei Xu, Analysis and control of an age-structured HIV-1 epidemic model with different transmission mechanisms, Advances in Difference Equations  (2018) 2018:36 https://doi.org/10.1186/s13662-017-1455-0

[4] Junyuan Yang*, Xiaoyan Wang, Threshold dynamics of an SIR model with nonlinear incidence rate and age-dependent suscepbility, Complexity, 2018, Article ID 9613807, https://doi.org/10.1155/2018/9613807

[5] Junyuan Yang*, Yuming Chen, Theoretical and numerical results for an age-structured SIVS model with a general nonlinear incidence rate, J.Biol.Dynam., 2018, 12(1): 789-816.

[6] Akhil Kumar Srivastav, Junyuan Yang, Xiaofeng Luo, Mini Ghost, Spread of Zika disease on complex network-A mathematical study, Math. Comput. Simulation, 2018, https://doi.org/10.1016/j.matcom.2018.09.014

[7] Xiaoyan Wang, Junyuan Yang*, Xiaofeng Luo, Asymptotical profiles of a viral infection model with multi-target cells and spatial diffusion, Comput. Math. Appl., 2018, http://doi.org/10.1016/j.camwa.2018.09.03

2017年

[1] Junyuan Yang*#, Yuming Chen, Toshikazu Kuniya, Threshold dynamics of an age-structured epidemic model with relapse and nonlinear incidence, IMA Journal of Applied Mathematics,  82(2017), 629–655.

[2] Junyuan Yang*#,Yuming Chen, Effect of infection age on an SIR epidemic model with demography on complex networks, Physica A, 479 (2017) 527–541.

2016年

[1] Junyuan Yang*#, Yuming Chen, Fei Xu, Effect of infection age on an SIS epidemic model on complex networks, J.Math.Biol. 73(2016),1227-1249.

[2] Yuming Chen, Saofeng Zou, Junyuan Yang, Global analysis of an SIR epidemic model with infection age and saturated incidence, Nonlinear Analysis: Real World Applications, 30(2016), 16-31.

[3] Junyuan Yang*#, Chun-Hsien Li, Dynamics of a competing two-strain SIS epidemic model on complex networks with a saturating incidence rate, J. Phys. A: Math. Theor. 49 (2016) 215601 (20pp).

[4] Junyuan Yang*#, Maia Martcheva, Yuming Chen, Imitation dynamics of vaccine decision-making behaviours  based on the game theory, J.Biol. Dynamics. 10(1) (2016), 31-58.

2015年

[1] Junyuan Yang*#, Maia Martcheva, Lin Wang, Global threshold dynamics of an SIVS model with waning vaccine-induced immunity and nonlinear incidence, Math. Biosci. 268(2015), 1-8.

2012年

[1] Junyuan Yang*#, Xuezhi Li, Maia Martcheva, Global stability of a DS–DI epidemic model with age of infection, J. Math. Anal. Appl. 385(2012),  655–671.