教授 博士生导师
招生学科专业:
数学 -- 【招收博士、硕士研究生】 -- 数学学院
主要任职:中国数学学会生物数学专委会常务理事,江苏省生物数学会副理事长
性别:男
毕业院校:四川大学
学历:四川大学
学位:理学博士学位
所在单位:数学学院
联系方式:zhaohy@nuaa.edu.cn
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所属单位:理学院
发表刊物:INTERNATIONAL JOURNAL OF BIOMATHEMATICS
关键字:Stability Hopf bifurcation delay
摘要:In this paper, we have considered a delayed stage-structured diffusive prey-predator model, in which predator is assumed to undergo exploitation. By using the theory of partial functional differential equations, the local stability of an interior equilibrium is established and the existence of Hopf bifurcations at the interior equilibrium is also discussed. By applying the normal form and the center manifold theory, an explicit algorithm to determine the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions is derived. Finally, the complex dynamics are obtained and numerical simulations substantiate the analytical results.
ISSN号:1793-5245
是否译文:否
发表时间:2017-01-01
合写作者:Zhang, Xuebing
通讯作者:赵洪涌