李善兵，西安电子科技大学数学与统计学院副教授，入选西安电子科技大学华山学者菁英计划。主要从事微分方程与动力系统的研究，特别关注反应扩散系统的分支理论及其应用。主持完成国家自然科学基金项目、中国博士后科学基金项目、陕西省科学基金项目等多项科研项目，目前在研国家自然科学基金面上项目一项和陕西省自然科学基金一项。先后在SIMA J. Math. Anal.、Nonlinearity、Calc. Var. Partial Differential Equations、J. Differential Equations、Discrete Contin. Dyn. Syst.-A、Proc.  Roy. Soc. Edinburgh Sec. A等杂志发表二十余篇文章。

代表性科研论文：

11、Chu Jiawei,Li Shanbing*, Global dynamics of an indirect prey-taxis system with an anti-predation mechanism, J. Differential Equations  385 (2024) 424-462.

10、Li Shanbing*, Positive steady-state solutions for a class of prey-predator systems with indirect prey-taxis, SIAM J. Math. Anal. 55 (2023) 6342-6374.

9、Li Shanbing*, Wu Jianhua, The effects of diffusion on the dynamics of a Lotka-Volterra predator-prey model with a protection zone, Calc. Var. Partial Differential Equation 61 (2022) 213.

8、Li Shanbing*, Wu Jianhua, Dong Yaying, Uniqueness and non-uniqueness of steady states for a diffusive predator-prey-mutualist model with a protection zone,  J. Differential Equations 274 (2021) 151-187.

7、Li Shanbing*, Dong Yaying, Uniqueness and multiplicity of positive solutions for a diffusive predator-prey model in the heterogeneous environment, Proc.  Roy. Soc. Edinburgh Sec. A 150 (2020) 3321-3348. 

6、Li Shanbing*, Wu Jianhua, Dong Yaying,  Uniqueness and stability of positive solutions for a diffusive predator-prey model in heterogeneous environment, Calc. Var. Partial Differential Equation 58 (2019) 110.

5、Li Shanbing*, Wu Jianhua, Asymptotic behavior and stability of positive solutions to a spatially heterogeneous predator-prey system, J. Differential Equations 265 (2018) 3754-3791.

4、Li Shanbing*, Wu Jianhua, Effects of degeneracy and response function in a diffusion predator-prey model, Nonlinearity 31(2018) 1461-1483.

3、Li Shanbing*, Wu Jianhua, Effect of cross-diffusion in the diffusion prey-predator model with a protection zone, Discrete Contin. Dyn. Syst.-A 37 (2017) 1539-1558.

2、Li Shanbing*, Wu Jianhua, Liu Sanyang, Effect of cross-diffusion on the stationary problem of a Leslie prey-predator model with aprotection zone, Calc. Var. Partial Differential Equation 56 (2017) 56:82. 

1、Li Shanbing*, Wu Jianhua, Dong Yaying, Turing patterns in a reaction-diffusion model with the Degn-Harrison reaction scheme, J. Differential Equations 259 (2015) 1990-2029.

招生信息：

本人主要从事微分方程与动力系统相关问题的研究，欢迎本科专业为数学与应用数学、信息与科学计算的学生推免或报考本人的硕士研究生。

招生专业：基础数学、应用数学

招生方向：微分方程与动力系统、反应扩散方程理论、分支理论

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