数学与统计学院研究生导师信息

一、电子照片

二、基本情况

姓名：王佳伏

性别：男

学历学位：博士研究生

职称：教授

职务：副院长

学术兼职：湖南省数学会常务理事、美国《数学评论》评论员

研究方向：微分方程与动力系统、神经网络、生物数学

电子邮箱：jfwangmath@163.com

三、专业教学及教学成果

主要承担《概率统计》、《线性代数》、《复变函数与积分变换》、《高等数学》课程教学；

主要教学成果：

1．2012年获得校级“青年教师教学能手”光荣称号；

2．2015年获得校级“最受欢迎教师”光荣称号；

3. 2019年指导学生获得美国大学生数学建模竞赛H奖一项。

四、研究方向及研究团队

主要从事微分方程与动力系统学科领域科研工作。

所在的为微分方程与动力系统研究团队，主要研究微分方程与动力系统理论及其在神经网络、金融风险管理等的应用，发展了动力系统理论与方法，出版了专著《右端不连续微分方程模型及其动力学分析》、《右端不连续微分方程理论与应用》、《细胞神经网络动力学》。在J. Diff. Equa.等期刊发表论文60余篇。团队中有国家教学名师1人、湖南省“121人才工程”第一层次人选1人、湖南省杰青1人，获湖南省科技进步奖一等奖1项、省自然科学二等奖3项。近五年主持国家自然科学基金项目10余项。

五、科研成果

1. 主持或参与科研项目

(1)国家自然科学基金青年项目, 11301551, 分段光滑Filippov 系统的动力学研究, 2014/01-2016/12,主持

(2)湖南省自然科学基金面上项目, 2021JJ30698, 非光滑动力系统的分支理论及应用研究, 2021/01-2023/12,主持

(3)湖南省教育厅优秀青年项目, 20B018, 分段光滑动力系统的分支研究, 2020/09-2022/08, 主持

(4)湖南省自然科学基金青年项目, 2017JJ3525, 分段光滑Filippov 平面系统的极限环研究, 2017/01-2019/12, 主持

(5)国家自然科学基金数学天元专项基金, 11226151, 不连续泛函微分方程Lyapunov稳定性研究, 2013/01-2013/12,主持

(6)国家自然科学基金面上项目, 11971076, 基非线性种群时滞微分系统的多重稳定性研究, 2020/01-2023/12, 参与

2.专著出版

[1] 黄立宏，王佳伏. 右端不连续微分方程模型及其动力学分析, 科学出版社, 2021

[2] 黄立宏，郭振远，王佳伏. 右端不连续微分方程理论与应用, 科学出版社, 2011

3. 论文发表

[1] Jiafu Wang, Su He, and Lihong Huang. Limit cycles induced by threshold nonlinearity in planar piecewise linear systems of node-focus or node-center type. International Journal of Bifurcation and Chaos, 30(11):2050160,2020.

[2] Jiafu Wang, Chuangxia Huang, and Lihong Huang. Discontinuity-induced limit cycles in a general planar piecewise linear system of saddle--focus type. Nonlinear Analysis: Hybrid Systems, 33:162--178, 2019.

[3] Jiafu Wang, Xiaoyan Chen, and Lihong Huang. The number and stability of limit cycles for planar piecewise linear systems of node--saddle type. Journal of Mathematical Analysis and Applications, 469(1):405 -- 427, 2019.

[4] Jiafu Wang, Fengqin Zhang, and Lin Wang. Equilibrium, pseudoequilibrium and sliding-mode heteroclinic orbit in a Filippov-type plant disease model. Nonlinear Analysis: Real World Applications, 31:308--324, October 2016.

[5] Jiafu Wang and Gui Zhang. Stability analysis of retarded differential inclusions. Journal of Applied Mathematics, 2014:1--5, 2014.

[6] Jiafu Wang and Lin Wang. State transition graph and stability of singular equilibria for piecewise linear biological models. Physica D: Nonlinear Phenomena, 246(1):39--49, 2013.

[7] Jiafu Wang, Xiangnan Zhou, and Lihong Huang. Hopf bifurcation and multiple periodic solutions in Lotka-Volterra systems with symmetries. Nonlinear Analysis: Real World Applications, 14(3):1817--1828, 2013.

[8] Jiafu Wang and Lihong Huang. Almost periodicity for a class of delayed Cohen- Grossberg neural networks with discontinuous activations. Chaos, Solitons & Fractals, 45(9-10):1157--1170, 2012.

[9] Jiafu Wang, Lihong Huang, and Zhenyuan Guo. Global asymptotic stability of neural networks with discontinuous activations. Neural Networks, 22(7):931--937, 2009.

[10] Jiafu Wang, Lihong Huang, and Zhenyuan Guo. Dynamical behavior of delayed Hopfield neural networks with discontinuous activations. Applied Mathematical Modelling, 33(4):1793--1802, 2009.

[11] Lihong Huang, Jiafu Wang, and Xiangnan Zhou. Existence and global asymptotic stability of periodic solutions for Hopfield neural networks with discontinuous activations. Nonlinear Analysis: Real World Applications, 10(3):1651--1661, June 2009.

[12] Lihong Huang, Huili Ma, Jiafu Wang, and Chuangxia Huang. Global dynamics of a Filippov plant disease model with an economic threshold of infected-susceptible ratio. Journal of Applied Analysis and Computation, 10(5):2263--2277, 2020.

[13] Fang Wu and Lihong Huang and Jiafu Wang. Sliding bifurcation in a planar piecewise smooth systems with two zones separated by an ellipse. International Journal of Bifurcation and Chaos, 2021, Accept.

[14] Wenxiu Li, Lihong Huang, and Jiafu Wang. Global asymptotical stability and sliding bifurcation analysis of a general Filippov-type predator-prey model with a refuge. Applied Mathematics and Computation, 405:126263, 2021.

[15] Wenjie Li, Jinchen Ji, Lihong Huang, and Jiafu Wang. Bifurcations and dynamics of a plant disease system under non-smooth control strategy. Nonlinear Dynamics, 99:3351–3371,2020.

[16] Wenxiu Li, Lihong Huang, and Jiafu Wang. Dynamic analysis of discontinuous plant disease models with a non-smooth separation line. Nonlinear Dynamics, 99:1675–1697,2020.

[17] Wenxiu Li, Lihong Huang, and Jiafu Wang. Global dynamics of Filippov-type plant disease models with an interaction ratio threshold. Mathematical Methods in the Applied Sciences, 43(11):6995--7008, April 2020.

[18] Chuangxia Huang, Jiafu Wang, and Lihong Huang. Asymptotically almost periodicity of delayed Nicholson-type system involving patch structure. Electron. J. Differential Equations, 2020(61):1--17, 2020.

[19]杨淼,黄立宏,王佳伏,黄创霞.带有食饵避难的Filippov型捕食-食饵模型的 全局动力学.南通大学学报（自然科学版）, 19(1):56--61, 3 2020.

[20]马慧丽,王佳伏,黄立宏.有干预措施的Filippov戒烟模型的全局动力学.经济数学, 2020.

[21] 边彩莲, 黄立宏, 王佳伏. 基于媒体报道的Filippov传染病模型的全局动力学. 经济数学, 31(1):84--90, 3 2019.