【演講】

演講題目 : Period-doubling and Neimark-Sacker bifurcations in a larch budmoth population model

演講者：張瑞珍教授（美國德州理工大學）

時間：108年12月26日 (星期四) 15:10-16:00

地點：靜安325

演講摘要：

In this talk, we introduce a discrete consumer-resource system based on a model originally proposed for studying the cyclic dynamics of the larch budmoth population in the Swiss Alps. It is shown that the moth population can persist indefinitely for all of the biologically feasible parameter values. Using intrinsic growth rate of the consumer population as a bifurcation parameter, we prove that the system can either undergo a period-doubling or a Neimark–Sacker bifurcation when the unique interior steady state loses its stability.