学习经历:
1994.09-1998.06 云南大学数学系 数理基地班 理学学士学位
1998.09-2001.06 云南大学理学院 基础数学专业 理学硕士学位
2007.09-2010.06 云南大学数统学院 应用数学专业 理学博士学位
工作经历:
2001.06-2007.09 玉溪师范学院数学系 讲师
2010.06-2021.11 昆明理工大学理学院 副教授/教授
2021.11-至今 台州学院电信学院 教授
主要研究领域: 微分方程与动力系统
主要讲授课程:《数学分析》、《数学分析选讲》、《微分方程定性理论》、《高等数学》
科研项目:
1. 时间尺度上反应扩散神经网络系统动力学研究 (11161025),国家自然科学基金项目,主持,2012.01—2015.12 已结项
2. 时间变量为分数阶导数的抛物型偏微分方程动力学行为及其应用研究 (11661047),国家自然科学基金项目,主持,2017.01—2020.12 已结项
3. 时间尺度上反应扩散神经网络系统的周期解,云南省自然科学基金项目,主持,2011.10-2014.09 已结项
4. 一些生态系统多重周期或概周期解研究,主持,2011.10-2013.10 已结项
教学业绩:
指导硕士研究生发表SCI论文10余篇;指导学生获得全国大学生数学建模竞赛省级一等奖1项;指导毕业硕士研究生10余人,其中5人考取博士研究生。
代表性论文:
1. Kaihong Zhao, Yuan Ye. Four positive periodic solutions to a periodic Lotka–Volterra predatory–prey system with harvesting terms. Nonlinear Analysis: Real World Applications, (2010) 11: 2448–2455.
2. Kaihong Zhao, Yongkun Li. Four positive periodic solutions to two species parasitical system with harvesting terms. Computers and Mathematics with Applications, (2010) 59: 2703–2710.
3. Yongkun Li, Kaihong Zhao. Robust stability of delayed reaction–diffusion recurrent neural networks with Dirichlet boundary conditions on time scales. Neurocomputing, (2011) 74: 1632–1637.
4. Kaihong Zhao, Liang Ding, Fengzao Yang. EXISTENCE OF MULTIPLE PERIODIC SOLUTIONS TO LOTKA–VOLTERRA NETWORK-LIKE FOOD-CHAIN SYSTEM WITH DELAYS AND IMPULSES ON TIME SCALES. International Journal of Biomathematics, (2014) 7 (1): 1450003.
5. Kaihong Zhao, Ping Gong. Existence of Positive Solutions for a Class of Higher-Order Caputo Fractional Differential Equation. Qualitative Theory of Dynamical Systems, (2015) 14: 157–171.
6. Kaihong Zhao. Multiple positive solutions of integral BVPs for high-order nonlinear fractional differential equations with impulses and distributed delays. Dynamical Systems-An International Journal, (2015) 30 (2): 208–223.
7. Kaihong Zhao. Impulsive Boundary Value Problems for Two Classes of Fractional Differential Equation with Two Different Caputo Fractional Derivatives. Mediterranean Journal of Mathematics, (2016) 13: 1033–1050.
8. Kaihong Zhao, Ping Gong. POSITIVE SOLUTIONS OF NONLOCAL INTEGRAL BVPS FOR THE NONLINEAR COUPLED SYSTEM INVOLVING HIGH-ORDER FRACTIONAL DIFFERENTIAL. Mathematica Slovaca, (2017) 67 (2): 447–466.
9. Kaihong Zhao. Global exponential stability of positive periodic solution of the n-species impulsive Gilpin–Ayala competition model with discrete and distributed time delays. Journal of Biological Dynamics, (2018) 12 (1): 433–454.
10. Kaihong Zhao. Global exponential stability of positive periodic solutions for a class of multiple species Gilpin-Ayala system with infinite distributed time delays. INTERNATIONAL JOURNAL OF CONTROL, (2021) 94 (2): 521–533.
11. Kaihong Zhao. Stability of a Nonlinear ML-Nonsingular Kernel Fractional Langevin System with Distributed Lags and Integral Control. Axioms, (2022) 11 (7): 350.
12. Kaihong Zhao. Probing the Oscillatory Behavior of Internet Game Addiction via Diffusion PDE Model. Axioms, (2022) 11 (11): 649.
13. Kaihong Zhao. Coincidence Theory of a Nonlinear Periodic Sturm–LiouvilleSystem and Its Applications. Axioms, (2022) 11 (12): 726.
14. Kaihong Zhao. Existence, Stability and Simulation of a Class of Nonlinear Fractional Langevin Equations Involving Nonsingular Mittag–Leffler Kernel. Fractal and Fractional, (2022) 6 (9): 469.
15. Kaihong Zhao. Stability of a Nonlinear Langevin System of ML-Type Fractional Derivative Affected by Time-Varying Delays and Differential Feedback Control. Fractal and Fractional, (2022) 6 (12): 725.
16. Kaihong Zhao. Local exponential stability of several almost periodic positive solutions for a classical controlled GA-predation ecosystem possessed distributed delays. Applied Mathematics and Computation, (2023) 437: 127540.
17. Kaihong Zhao. Existence and Stability of a Nonlinear Distributed Delayed Periodic AG-Ecosystem with Competition on Time Scales. Axioms, (2023) 12 (3): 315.
18. Kaihong Zhao. Solvability, Approximation and Stability of Periodic Boundary Value Problem for a Nonlinear Hadamard Fractional Differential Equation With p-Laplacian. Axioms, (2023) 12 (8): 733.
19. Kaihong Zhao. Existence and UH-stability of integral boundary problem for a class of nonlinear higher-order Hadamard fractional Langevin equation via Mittag-Leffler functions. Filomat, (2023) 37 (4): 1053–1063.
20. Kaihong Zhao. Global asymptotic stability for a classical controlled nonlinear periodic commensalism AG-ecosystem with distributed lags on time scales. Filomat, (2023) 37 (29): 9899–9911.
21. Kaihong Zhao. Local exponential stability of four almost-periodic positive solutions for a classic Ayala-Gilpin competitive ecosystem provided with varying-lags and control terms. INTERNATIONAL JOURNAL OF CONTROL, (2023) 96 (8): 1922–1934.
22. Kaihong Zhao. Study on the stability and its simulation algorithm of a nonlinear impulsive ABC-fractional coupled system with a Laplacian operator via F-contractive mapping. Advances in Continuous and Discrete Models, (2024) 2024 (1): 5.
23. Kaihong Zhao, Juqing Liu, Xiaojun Lv. A Unified Approach to Solvability and Stability of Multipoint BVPs for Langevin and Sturm–Liouville Equations with CH–Fractional Derivatives and Impulses via Coincidence Theory. Fractal and Fractional, (2024) 8 (2): 111.
24. Kaihong Zhao. Asymptotic stability of a periodic GA-predation system with infinite distributed lags on time scales. INTERNATIONAL JOURNAL OF CONTROL, (2024) 97 (7): 1542–1552.
25. Xiaojun Lv, Kaihong Zhao, Haiping Xie. Ulam–Hyers Stability and Simulation of a Delayed Fractional Differential Equation with Riemann–Stieltjes Integral Boundary Conditions and Fractional Impulses. Axioms, (2024) 13 (10): 682.
个人荣誉、获奖情况:
获得“红云红河”优秀教师奖、台州市教育领域紧缺人才称号、入选2024年度全球前2%顶尖科学家榜单