Canard Cycles in Predator-Prey Competition System with Holling type of functional responses
演讲人: Prof. Huaiping Zhu (York University)
时间: 2011年5月23日(星期一)上午9:40 – 11:00
地点: 华东师大闵行校区数学系126报告厅
Abstract.
There have been extensive stability and bifurcation studies of predator-prey type of systems, yet the study of canard cycles of such type of systems is rather limited due to the degenerate singularities and technical difficulties in dealing with the singularities. In this talk, by using the theory of center manifolds and geometric singular perturbation, I will present the bifurcation studies of canard cycles in a general singular perturbed predator-prey systems, and apply the results to obtain canard cycles in the model with different Holling types of functional responses. This is a joint work with Chengzhi Li.