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个人简介

黄继才，男，博士，教授，博士生导师。主要从事常微分方程定性理论、分支理论及其应用，几何奇异摄动理论及其应用，非光滑方程及其应用研究。在 JDE、JDDE、SIAP、SIADS、JMB、SAPM、BMB 等期刊发表学术论文五十余篇。

开设课程

本科生：数学分析、常微分方程、复变函数、常微分方程定性理论、高等数学、线性代数、概率论与数理统计
研究生：常微分方程定性理论、分支理论、稳定性理论、动力系统

研究方向

常微分方程和动力系统及其应用

教育经历

2002/09－2005/06，中国科学院，数学与系统科学研究院数学所，博士
1999/09－2002/06，js6666金沙登录入口，数学系，硕士
1995/09－1999/06，js6666金沙登录入口，数学系，学士

工作经历

2015/07- 现在，        js6666金沙登录入口，js6666金沙登录入口，教授
2008/06－2015/06， js6666金沙登录入口，js6666金沙登录入口，副教授
2005/07－2008/06， js6666金沙登录入口，js6666金沙登录入口，讲师
2005/09－2005/12， 喀什师范学院，数学系，新疆支教
2012/02－2013/02， 美国迈阿密大学，数学系，访问学者(国家全额公派)

研究成果

研究兴趣：定性理论与分支理论及其应用；几何奇异摄动理论及其应用；非光滑方程及其应用。


Selected papers:

14. (with Min Lu, Hao Wang) An organizing center of codimension four in a predator-prey model with generalist predator: from tristability and quadristability to transients in a nonlinear environmental change, SIAM Journal on Applied Dynamical Systems. 22 (2023), no. 2, 694-729.
 
13. (with Min Lu, Daozhou Gao, Hao Wang) Relative prevalence-based dispersal in an epidemic patch model. Journal of Mathematical Biology, 86 (2023). Paper No. 52, 35 pp.

12. (with Chuang Xiang, Hao Wang) Bifurcations in Holling-Tanner model with generalist predator and prey refuge, Journal of Differential Equations, 343 (2023) 495-529.
 
11. (with Chuang Xiang, Min Lu) Degenerate Bogdanov-Takens bifurcation of codimension 4 in Holling-Tanner model with harvesting, Journal of Differential Equations 314 (2022) 370-417.

10. (with Qin Pan, Hao Wang) An SIRS model with nonmonotone incidence and saturated treatment in a changing environment. Journal of Mathematical Biology 85 (2022), no. 3, Paper No. 23, 39 pp. 

9. (with Chuang Xiang, Hao Wang) Linking bifurcation analysis of Holling-Tanner model with generalist predator to a changing environment. Stud. Appl. Math. 149 (2022), no. 1, 124-163.

8. (with Min Lu) Global analysis in Bazykin's model with Holling II functional response and predator competition. Journal of Differential Equations 280(2021) 99-138.

7. (with Min Lu, Shigui Ruan, Pei Yu) Global Dynamics of a Susceptible-Infectious -Recovered Epidemic Model with a Generalized Nonmonotone Incidence Rate. Journal of Dynamics and Differential Equations 33 (2021) 1625-1661.
 
6. (with Chuang Xiang, Shigui Ruan, Dongmei Xiao) Bifurcation analysis in a host- generalist parasitoid model with HollingII functional response. Journal of Differential Equations 268(2020) 4618-4662.

5. (with Min Lu, Shigui Ruan, Pei Yu) Bifurcation Analysis of a SIRS Epidemic Model with a Generalized Nonmonotone and Saturated Incidence Rate. Journal of Differential Equations 267(2019) 1859-1898.

4. (with Shigui Ruan, Pei Yu, Yuyue Zhang) Bifurcation Analysis of a Mosquito Population Model with a Saturated Release Rate of Sterile Mosquitoes. SIAM Journal on Applied Dynamical Systems 18(2019) 939-972.

3. (with Changjian Liu, Jihua Wang) Abelian integrals in unfoldings of codimension 3 singularities with nilpotent linear parts. J. Math. Anal. Appl. 449 (2017), no.1, 884-896.

2. (with Shigui Ruan, Jing Song) Bifurcations in a Predator-prey System of Leslie Type with Generalized Holling Type III Functional Response, Journal of Differential Equations 257 (2014) 1721-1752.

1. (with Jing Chen, Shigui Ruan, Jihua Wang) Bifurcations of invariant tori in predator-prey models with seasonal prey harvesting. SIAM Journal on Applied Mathematics 73 (2013), no. 5, 1876-1905.

研究项目

附件

黄继才

English Version (英文版)