報(bào) 告 人：白定勇 教授

報(bào)告題目：Hydra effect and global dynamics of predation with strong Allee effect in prey and intraspecific competition in predator

報(bào)告時(shí)間：2023年12月17日（周日）上午10:00-11:00

報(bào)告地點(diǎn)：靜遠(yuǎn)樓1508學(xué)術(shù)報(bào)告廳

主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院

報(bào)告人簡(jiǎn)介：

       白定勇簡(jiǎn)介：博士，教授，博士生導(dǎo)師。主要從事泛函微分方程及種群生態(tài)模型的理論與應(yīng)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(xué)術(shù)期刊發(fā)表30余篇科研論文。先后主持和參與了多項(xiàng)國(guó)家級(jí)和省部級(jí)科研項(xiàng)目。目前主持國(guó)家自然科學(xué)基金面上項(xiàng)目和廣東省自然科學(xué)基金面上項(xiàng)目各一項(xiàng)。

報(bào)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.