李文杰，男，中共党员，博士，副教授，硕导，云南省“兴滇”青年人才

Email:  forliwenjie2008@163.com

2022.12-2026.10           东南大学        数学学院         博士后

2015.09--2020.06，  湖南大学，      数学与计量经济学院，   博士

2011.09--2014.09,         云南师范大学，     数学学院         硕士

2007.09–2011.07，  湖北师范学院，    数学与统计学院，     学士

2018.10-2019.11,          University of Technology Sydney,                                      访问学者

本科：《高等数学》、《线性代数》、《复变函数与积分变换》和《数学分析》.

研究生：《常微分方程定性与稳定性理论》、《复分析与实分析》、《数值分析》.

《泛函分析》、《微分方程》、《反应扩散方程引论》、《泛函微分方程》

主要研究方向

微分方程理论、非线性动力系统及其生物数学模型的控制应用

承担科研项目及完成情况

(1)国家自然科学基金项目 2024-01-01 至 2027-12-31, 在研, 主持。

(2)中国博士后第73批面上项目, 2024-06 至 2025-06, 结题, 主持。

(3)国家自然科学基金项目, 2024-01-01 至 2024-12-31, 结题，主持。

(4)云南省科技厅面上项目, 2023-06 至 2026-06 ,在研, 主持。

(5)云南省科技厅面上项目, 2021-12 至 2024-12, 结题 主持。

(6)昆明理工大学高层次人才项目，2021.1，至, 主持。

(7)云南省科技厅兴滇人才项目, 2026-12 至 2030-12, 主持。

代表论文

代表性教材，论文和专著：

在国际期刊《Proc. Amer. Math. Soc.》、《Phys. Rev. E》、《Z. Angew. Math. Phys.》、《J. Geom. Anal.》、《J. Math. Anal. Appl.》 等国际学术刊物上发表了30多篇 SCI 学术论文，其中5篇论文入选ESI 高被引.在Springer出版专著1本。MathSciNet评论员。

代表作：

[1] Wenjie Li, Wenhao Bai, Jinde Cao*:Turing instability and pattern formation in a diffusive predator-prey system with opportunistic predators and weak Allee effect. Physical Review E (2026). Accepted.DOI: 10.1103/5fx7-q41y

[2] Ye Han, Wenjie Li*,Xuewen Tan, Wanqian Wu, Xinzhi Liu. Hos-vector dynamical analysis of a dengue disease diffusion model under saturated incidence Journal of Mathematical Analysis and Applications, 2026, 556(1): 130238.

[3] Wenjjie Li,Ying Zhang, Qian Ding, Jianshe Yu. Exponential convergence of a diffusive SIRS epidemic model  with  standard incidence. The Journal of Geometric Analysis, 2026, 36(1): 15.

[4] Wenjie Li, Letian Zhang , Jinde Cao,A note on Turing–Hopf bifurcation in a diffusive Leslie–Gower model with weak Allee effect on prey and fear effect on predator,Applied Mathematics Letters,172, 2026, 109741.

[5] Xuewen Tan ,Jiahong Li,Wenjie Li* ,Xinzhi Liu. Dynamic analysis of diffusion dysentery diarrhoea epidemic model,Communications in Nonlinear Science and Numerical Simulation,152, 2026, 109245.

[6] Wenjie Li, Liuan Yang, Lihong Huang, Jinde Cao. Threshold dynamics analysis of a diffusive dengue disease transmission model,Communications in Nonlinear Science and Numerical Simulation,152,2026, 109247.

[7] Wenjie Li,Letian Zhang,Jinde Cao, Fei Xu,Zuowei Cai. Finite Time Attractivity and Exponentially Stable of a Multi-Stage Epidemic System with Discontinuous Incidence,Qualitative Theory of Dynamical Systems, 24(5),2025,199.

[8] Qian Ding Liuan Yang, Wenjie Li*, Jianshe Yu. Dynamics of a degenerated diffusive avian influenza epidemic system with logistic source, Discrete and Continuous Dynamical Systems - B,DOI10.3934/dcdsb.2025034. 2025.

[9] Wenjie Li, Liuan Yang, Jinde Cao*. Threshold dynamics of a degenerated diffusive incubation period hos-pathogen model with saturation incidence rate, Applied Mathematics Letters,160(2025)109312.

[10]  Wenjie Li*, Weiran Zhao, Jinde Cao* and Lihong Huang. Dynamics of a linear source epidemic system with diffusion and media impact. Zeitschrift für angewandte Mathematik und Physik, 75(144)(2024).

[11] Wenjie Li, Guodong Li, Jinde Cao, Fei Xu. Dynamics analysis of a diffusive SIRI epidemic system under logistic source and general incidence rate. Communications in Nonlinear Science and Numerical Simulation, 2024129 (2024) 107675.

[12] Wenjie Li, Yajuan. Guan, Jinde Cao, Fei Xu. A note on global stability of a degenerate diffusion avian influenza model with seasonality and spatial Heterogeneity. Applied Mathematics Letters,148 (2024) 108884.

[13] Wenjie Li, Ying. Zhang, Jinchen. Ji, Lihong Huang, Dynamics of a diffusion epidemic SIRI system in heterogeneous environment, Zeitschrift fr Angewandte Mathematik und Physik, 74(3)(2023).

[14] Wenjie Li, Yajuan Guan, Jinde Cao*, Fei Xu. Global dynamics and threshold control of a discontinuous fishery ecological system. Chaos, Solitons and Fractals, 182(2024)114817.

[15] Wenjie Li, Ying Zhang, Jinde Cao and Dongshu Wang,Large time behavior in a reaction diffusion epidemic model with logistic source. Chaos，Solitons & Fractals, 177 (2023) 114282.

[16] Wenjie Li, Jinchen Ji, Lihong Huang and Ying Zhang. Complex dynamics and impulsive control of a chemostat model under the ratio threshold policy. Chaos，Solitons & Fractals, 167 (2023) 113077.

[17] Wenjie Li, Jinchen Ji, Lihong Huang and Lingling Zhang. Global dynamics and control of malicious signal transmission in wireless sensor networks. Nonlinear Analysis: Hybrid Systems, 48 (2023) 101324.

[18] Wenjie Li, Ying Zhang and Lihong Huang. Dynamics analysis of a predator–prey model with nonmonotonic  functional response and impulsive control. Mathematics and Computers in Simulation, 204 (2023) 529-555.

[19] Wenjie Li, Jinchen Ji, Lihong Huang and Zuowei Cai. Periodic orbit analysis for a delayed model of malicious  signal transmission in wireless sensor networks with discontinuous control. Mathematical Methods in the Applied Sciences, 46(5)(2023)5267-5285.

[20] Wenjie Li, Jinchen Ji and Lihong Huang. Global dynamics analysis of a water hyacinth fish ecological system under impulsive control. Journal of the Franklin Institute, 359 (2022) 10628–10652.

[21] Wenjie Li, Jinchen Ji Lihong Huang and Zhenyuan Guo. Global dynamics of a controlled discontinuous diffusive SIR epidemic system. Applied Mathematics Letters, 121(2021)107420.

[22] Wenjie Li, Lihong Huang and Jinchen Ji. Periodic solution and its stability of a delayed Beddington--DeAngelis type predator--prey system with discontinuous control strategy. Mathematical Methods in the Applied Sciences, 42.13 (2019) 4498-4515.

[23] Wenjie Li, Lihong Huang and Jinchen Ji. Globally exponentially stable periodic solution in a general delayed predator-prey model under discontinuous prey control strategy. Discrete & Continuous Dynamical Systems--B, 25.7, (2020) 2639-2664.

[24] Wenjie Li, Jinchen Ji, Lihong Huang and Jiafu Wang. Bifurcations and dynamics of a plant disease system under non-smooth control strategy. Nonlinear Dynamics, 99.1(2020 ) 3351-3371.

[25] Wenjie Li, Jinchen Ji and Lihong Huang. Global dynamic behavior of a predator-prey model under ratio-dependent state impulsive control. Applied Mathematical Modelling, 77(2020)1842-1859.

[26] Wenjie Li, Lihong Huang, Zhenyuan Guo, Jinchen Ji. Global dynamic behavior of a plant disease model with ratio dependent impulsive control strategy. Mathematics and Computers in Simulation, 177(11)(2020) 120-139.

[27] Wenjie Li, Jinchen Ji and Lihong Huang. Dynamics of a controlled discontinuous computer worm system. Proceedings of the American Mathematical Society, 148(2020) 4389-4403.

[28]  Limei Liu Wenjie Li*.Modeling and stability analysis of an extended car-following model behavior of the currents vehicle based on delay of response and signal interruption probability, Proceedings of the Institution of Mechanical Engineers Part D-Journal of Automobile Engineering,239(4)(2025)1355-1366.