報 告 人：白定勇 教授

報告題目：Hydra effect and global dynamics of predation with strong Allee effect in prey and intraspecific competition in predator

報告時間：2023年12月17日（周日）上午10:00-11:00

報告地點：靜遠樓1508學術報告廳

主辦單位：數學與統計學院、數學研究院、科學技術研究院

報告人簡介：

       白定勇簡介：博士，教授，博士生導師。主要從事泛函微分方程及種群生態模型的理論與應用研究，在《J. Differential Eqn.》、《Nonl. Anal.RWA》、《Nonl. Anal.TMA》、《J.Biol.Dyn.》、《J.Math.Anal.Appl.》、《Discrete Contin. Dyn. Syst.S》、《Discrete Contin. Dyn. Syst.B》和《Appl. Math. Lett.》等學術期刊發表30余篇科研論文。先后主持和參與了多項國家級和省部級科研項目。目前主持國家自然科學基金面上項目和廣東省自然科學基金面上項目各一項。

報告摘要： 

       In this talk, we consider a predator-prey model with strong Allee effect in prey and intraspecific competition in predator. The global dynamics of the model is presented, including equilibrium stability, Hopf bifurcation and its directions, existence of a heteroclinic orbit loop, a homoclinic orbit loop and limit cycles. In comparison with system without the Allee effect in prey and system without the intraspecific competition in predator, the Allee effect in prey and the over-exploitation of the prey by the predator may drive the extinction of two species, but the intraspecific competition in the predator can generate “hydra effect” that regulates the population size of both predator and prey by suppressing the over-exploitation of prey and improving the probability of survivals of two species.