Invited by Prof.Binguo Wang, Associate Prof. Lan Zou from Sichuan University will give a lecture.

Title: Dynamics of a predator-prey system with Smith growth in prey and foraging facilitation in predators

Time: 16:00 p.m.,Apr. 23th, 2021

Location: Room 401, Polytechnic building

Abstract: 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 Smith growth and foraging facilitation among wolves. It is shown that there is 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.