國立清華大學 數學系

Abstract: In this talk, we concentrate on the effects of heteroclinic cycles and the interplay of heteroclinic attractors or repellers on the boundary of the carrying simplices for low-dimensional discrete-time competitive systems. We first present a new theorem on the existence of the carrying simplex for the competitive mapping. Several concrete discrete-time competition models are further analyzed, which do admit heteroclinic cycles. The criteria on the stability of the heteroclinic cycle for each model are also given. This is a joint work with Jifa Jiang and Lei Niu.