黄继才-数学与统计学学院2026

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黄继才

教授

办公室

国交2栋410办公室

邮箱

hjc@ccnu.edu.cn

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 华中师范大学，数学系，硕士
1995.09-1999.06 华中师范大学，数学系，学士

工作经历

2015.07至今 华中师范大学，数学与统计学学院，教授
2008.06-2015.06 华中师范大学，数学与统计学学院，副教授
2005.07-2008.06 华中师范大学，数学与统计学学院，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.

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