Lecture Room B, 4th Floor, The 3rd General Building, NTHU
(清華大學綜合三館 4樓B演講室)
On heteroclinic cycles of competitive maps via carrying simplices
Yi Wang (University of Science and Technology of China)
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.
