數(shù)學(xué)與統(tǒng)計(jì)學(xué)院研究生導(dǎo)師信息

一、電子照片

二、基本情況

姓名：王佳伏

性別：男

學(xué)歷學(xué)位：博士研究生

職稱：教授

職務(wù)：副院長(zhǎng)

學(xué)術(shù)兼職：湖南省數(shù)學(xué)會(huì)常務(wù)理事、美國(guó)《數(shù)學(xué)評(píng)論》評(píng)論員

研究方向：微分方程與動(dòng)力系統(tǒng)、神經(jīng)網(wǎng)絡(luò)、生物數(shù)學(xué)

電子郵箱：jfwangmath@163.com

三、專業(yè)教學(xué)及教學(xué)成果

主要承擔(dān)《概率統(tǒng)計(jì)》、《線性代數(shù)》、《復(fù)變函數(shù)與積分變換》、《高等數(shù)學(xué)》課程教學(xué)；

主要教學(xué)成果：

1．2012年獲得校級(jí)“青年教師教學(xué)能手”光榮稱號(hào)；

2．2015年獲得校級(jí)“最受歡迎教師”光榮稱號(hào)；

3. 2019年指導(dǎo)學(xué)生獲得美國(guó)大學(xué)生數(shù)學(xué)建模競(jìng)賽H獎(jiǎng)一項(xiàng)。 

四、研究方向及研究團(tuán)隊(duì)

主要從事微分方程與動(dòng)力系統(tǒng)學(xué)科領(lǐng)域科研工作。

所在的為微分方程與動(dòng)力系統(tǒng)研究團(tuán)隊(duì)，主要研究微分方程與動(dòng)力系統(tǒng)理論及其在神經(jīng)網(wǎng)絡(luò)、金融風(fēng)險(xiǎn)管理等的應(yīng)用，發(fā)展了動(dòng)力系統(tǒng)理論與方法，出版了專著《右端不連續(xù)微分方程模型及其動(dòng)力學(xué)分析》、《右端不連續(xù)微分方程理論與應(yīng)用》、《細(xì)胞神經(jīng)網(wǎng)絡(luò)動(dòng)力學(xué)》。 在J. Diff. Equa.等期刊發(fā)表論文60余篇。團(tuán)隊(duì)中有國(guó)家教學(xué)名師1人、湖南省“121人才工程”第一層次人選1人、湖南省杰青1人，獲湖南省科技進(jìn)步獎(jiǎng)一等獎(jiǎng)1項(xiàng)、省自然科學(xué)二等獎(jiǎng)3項(xiàng)。近五年主持國(guó)家自然科學(xué)基金項(xiàng)目10余項(xiàng)。

五、科研成果

1. 主持或參與科研項(xiàng)目

(1)國(guó)家自然科學(xué)基金青年項(xiàng)目, 11301551, 分段光滑F(xiàn)ilippov 系統(tǒng)的動(dòng)力學(xué)研究, 2014/01-2016/12,主持

(2)湖南省自然科學(xué)基金面上項(xiàng)目, 2021JJ30698, 非光滑動(dòng)力系統(tǒng)的分支理論及應(yīng)用研究, 2021/01-2023/12,主持

(3)湖南省教育廳優(yōu)秀青年項(xiàng)目, 20B018, 分段光滑動(dòng)力系統(tǒng)的分支研究, 2020/09-2022/08, 主持

(4)湖南省自然科學(xué)基金青年項(xiàng)目, 2017JJ3525, 分段光滑F(xiàn)ilippov 平面系統(tǒng)的極限環(huán)研究, 2017/01-2019/12, 主持

(5)國(guó)家自然科學(xué)基金數(shù)學(xué)天元專項(xiàng)基金, 11226151, 不連續(xù)泛函微分方程Lyapunov穩(wěn)定性研究, 2013/01-2013/12,主持

(6)國(guó)家自然科學(xué)基金面上項(xiàng)目, 11971076, 基非線性種群時(shí)滯微分系統(tǒng)的多重穩(wěn)定性研究, 2020/01-2023/12, 參與

2.專著出版

[1] 黃立宏，王佳伏. 右端不連續(xù)微分方程模型及其動(dòng)力學(xué)分析, 科學(xué)出版社, 2021

[2] 黃立宏，郭振遠(yuǎn)，王佳伏. 右端不連續(xù)微分方程理論與應(yīng)用, 科學(xué)出版社, 2011

3. 論文發(fā)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] 楊淼, 黃立宏, 王佳伏, 黃創(chuàng)霞. 帶有食餌避難的Filippov 型捕食-食餌模型的 全局動(dòng)力學(xué). 南通大學(xué)學(xué)報(bào)（自然科學(xué)版）, 19(1):56--61, 3 2020.

[20] 馬慧麗, 王佳伏, 黃立宏. 有干預(yù)措施的Filippov 戒煙模型的全局動(dòng)力學(xué). 經(jīng)濟(jì)數(shù)學(xué), 2020.

[21] 邊彩蓮, 黃立宏, 王佳伏. 基于媒體報(bào)道的Filippov傳染病模型的全局動(dòng)力學(xué). 經(jīng)濟(jì)數(shù)學(xué), 31(1):84--90, 3 2019.