报告题目：Complex dynamics and bifurcations in a toxin-dependent aquatic population model
摘要：The study of effects of environmental toxins on ecosystems is of great interest from both environmental and conservation points of view. In this talk, I will present the complex dynamics and bifurcations of a toxin-dependent aquatic population model. The analytical and numerical results show that both the environmental toxin level and the depuration capability of the population significantly affect the population persistence. The model exhibits a multifarious array of dynamics. While low levels of external toxin allow population persistence and high levels of toxin lead to an extirpation, intermediate toxin concentrations can produce very rich dynamics, such as transient oscillations, hysteresis, heteroclinic orbits, and a codimension-two bifurcation. In particular, a regime of bistability exists where the population is doomed to extinction or survival, depending on the initial state of the system. As a practical implication of our study, the toxic effects of methylmercury on rainbow trout are scrutinized.
报告人简介：Chunhua Shan obtained his PhD degree in Applied Mathematics at York University in 2013. He was a Visiting Assistant Professor in the Georgia Institute of Technology from 2013 to 2014. He worked as a postdoctoral fellow at the University of Alberta from 2014 to 2016. He has joined the University of Toledo as an Assistant Professor since 2016. His research interests focus on differential equations, dynamical systems, and applications in mathematical biology.