李善兵，山东泰安人， 数学与统计学院副教授，硕士生导师，入选 华山学者菁英计划，入选西安市科协青年人才托举计划，主要从事微分方程与动力系统相关问题的研究。

获得全国青年微分方程学术会议优秀论文奖、陕西省科学技术奖二等奖(第3完成人)，陕西省高等学校科学技术奖一等奖(第2完成人)，陕西省优秀博士学位论文，陕西省数学会青年优秀论文一等奖、陕西省工业与应用数学学会优秀论文一等奖。主持国家自然科学基金青年项目、第14批中国博士后科学基金特别资助(站中)、第11批中国博士后科学基金特别资助、第60批中国博士后科学基金面上资助、陕西省自然科学基金青年项目和陕西省博士后基金等多项科研项目。

目前在 SIMA J. Math Anal.、Calc. Var. Partial Differential Equations、J. Differential Equations、Nonlinearity、Discrete Contin. Dyn. Syst.-A、Proc. Roy. Soc. Edinburgh Sec. A等国际知名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.