Speaker: Prof.Binxiang Dai（Central South University）

Title: Spatiotemporal pattern of a toxic-phytoplankton-zooplankton model

Time: Sun, Dec.1 2019,PM:15:00-16:00

Location: Room 4318, Building No.4, Wushan Campus

Abstract：

     The spatiotemporal pattern formation driven by nonlinear cross-diffusion of a toxic-phytoplankton-zooplankton model with Allee effect is investigated in this talk. We first perform the mathematical analysis of the corresponding non-spatial model, which give us a complete picture of the global dynamics. Then the linear stability analysis shows that the nonlinear cross-diffusion is the key mechanism for the formation of spatial patterns. Finally, numerical simulations illustrate the effectiveness of theoretical results. The impact of Allee effect and toxin-producing rate of toxic-phytoplankton species on pattern selection is also explored.