Dynamics of two predators competing for a renewable prey

戴佳原 教授

Prof. Jia-Yuan Dai

國立中興大學應用數學系

Department of Applied Mathematics, National Chung Hsing University

Abstract

   We are interested in finding stable ‘large’ periodic orbits of an ODE system that describes the dynamics of two predators competing for the same prey. The prey population grows logistically in the absence of predation, and the predators feed on the prey with Holling’s type-II response. We first briefly explain a characterization of parameter regions that may support coexistence states. Then we explain how stable ‘large’ periodic orbits are triggered by perturbing an elliptic Hopf bifurcation point without parameters. For this aim, we prove that the ODE system admits an elliptic Hopf bifurcation and discuss an attempt by using the averaging method. This is an ongoing research with A. López Nieto, P. Lappicy, H. Stuke, and N. Vassena.

日  期:111年9月29日(星期四) 16:10~17:00

地  點：本校數學館312教室（嘉義縣民雄鄉大學路168號）

茶  會：15:30~16:00數學館四樓409室舉行

歡迎參加   敬請公佈