Dynamics of a predator-prey system with resource-limited growth in prey and foraging facilitation in predators
报告题目(Title)：Dynamics of a predator-prey system with resource-limited growth in prey and foraging facilitation in predators
报告人(Speaker)：邹兰 副教授（四川大学）
地点(Place)：腾讯会议ID：214 987 600
时间(Time)：2021.10.21（星期四）16：00-17：00
邀请人(Inviter)：刘志华
报告摘要
The work was motivated by the ecosystem including the Tibetan antelope (Pantholops hodgsonii) and grey wolf (Canis lupus) in the Sanjiangyuan Natinal Park in China. We consider the Tibetan antelope with resource-limited growth and foraging facilitation among wolves. It is shown that there are a weak focus of multiplicity 3 and a cusp of codimension 4 for various parameter values and the system can exhibit various bifurcations as the parameter values vary, such as saddle-node, transcritical, pitchfork, Hopf and Bogdanov-Takens bifurcations. The comparative study shows that these dynamics and bifurcations are far richer than that of the system without foraging facilitation among predators or with logistic growth for prey. The analysis results reveal that more available resources and appropriate intensity of foraging facilitation are beneficial for predator population persistence and promote ecosystem diversity.
