Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response
报告题目(Title)：Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response
报告人(Speaker)：黄继才 教授(华中师范大学)
地点(Place)：腾讯会议：685809040
时间(Time)： 2021-6-18, 下午 4:00-5:00
邀请人(Inviter)：袁荣
报告摘要
In this talk we study a host-generalist parasitoid model with Holling II functional response, where the generalist parasitoids are introduced to control the invasion of the hosts. It is shown that the model can undergo a sequence of bifurcations including cusp, focus and elliptic types degenerate Bogdanov-Takens bifurcations of codimension three, and a degenerate Hopf bifurcation of codimension at most two as the parameters vary, and the model exhibits rich dynamics such as the existence of multiple coexistent steady states, multiple coexistent periodic orbits, homoclinic orbits (homoclinic to hyperbolic saddle or saddle-node or neutral saddle), etc.
主讲人简介
华中师范大学教授、博士生导师。1999年、2002年分别本科、硕士毕业于华中师范大学数学系，2005年获中科院数学与系统科学研究院数学所博士学位。主要从事常微分方程定性理论、分支理论及其应用研究。在 J. Differential Equations、J. Dynam. Differential Equations、SIAM J. Appl. Math.、SIAM J. Appl. Dyn. Syst.、Bull. Math. Biol. 等期刊发表学术论文四十余篇。其中发表在 SIAM J. Appl. Dyn. Syst.(2019)的文章被美国工业与应用数学会网站《SIAM News》专文报道，并被选为封面亮点文章(Featured Article)。
