李善兵，副教授，博士生导师。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。主持国家自然科学基金面上项目和青年项目、中国博士后科学基金特别资助和面上资助、陕西省自然科学基金面上项目和青年项目、陕西省博士后面上资助等多项科研项目。先后在SIMA J. Math. Anal.、Israel J. Math.、Nonlinearity、Calc. Var. PDE(3篇)、J. Differential Equations(6篇)等杂志发表40余篇文章。

欢迎乐观向上，踏实认真的同学推免或考取我的研究生，每年招收博士生1名，硕士生1-2名.

报考前请邮件提前联系：lishanbing2006@163.com 或 lishanbing@xidian.edu.cn

代表性科研论文：

1、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.

2、Li Shanbing*, Effects of crowding strength in a prey-predator system with general signal-dependent diffusion and sensitivity, Israel J. Math. Accepted.

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

4、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 (2022) 61: 213.

5、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 (2019) 58: 110.

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

7、Dong Yaying, Zhou Xueqian, Li Shanbing*, On the effects of spatial heterogeneity on positive steady states of Lotka-Volterra competition model with advection, J. Differential Equations 444 (2025) 113657

8、Zhang Conghui, Zhang Hanzhi, Li Shanbing*, Guo Gaihui, Higher-dimensional stationary solutions of a FitzHugh-Nagumo system for pattern formation in a spatially heterogeneous medium, J. Differential Equations 421 (2025) 411-446.

9、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*, 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.

11、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.

12、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. 

13、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. 

14、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.

科研项目：

1、国家自然科学基金面上项目，主持；

2、国家自然科学基金青年项目，主持；

3、第14批中国博士后科学基金特别资助，主持；

4、第11批中国博士后科学基金特别资助，主持；

5、第60批中国博士后科学基金面上资助，主持；

6、陕西省自然科学基金面上项目，主持；

7、陕西省自然科学基金青年项目，主持；

8、陕西省博士后科学基金面上资助，主持；

9、西安市科协青年人才托举计划项目，主持；