Special Session 103: The integrability and bifurcation theory of dynamical systems and its applications

The stability and bifurcation of ecosystems within a defined energy landscape
Dongmei Xiao
Shanghai Jiao Tong University
Peoples Rep of China
Co-Author(s):    Tianwei Gan, Dongmei Xiao and Chenwan Zhou
Abstract:
In this talk, we first assume that a defined energy landscape becomes the resource constraint in ecological community, then give three-dimensional Lotka-Volttera models within a defined energy landscape, and study bifurcations for a class of the three-dimensional Lotka-Volttera models as an example, discover the existence of strange bifurcations by using a conserved quantity as a bifurcation parameter, which reveals how resource constraints influence the coexistence of the species and their long-term dynamics.