Title: On the Dynamics of a Reaction-Diffusion System Modeling Two Species Competition in an Unstirred Chemostat with Internal Storage
Speaker: Sze-Bi Hsu, National Tsing-Hua University, Taiwan
Abstract: In this talk we first introduce a system of reaction diffusion equations modeling two species competition in an unstirred chemostat with internal storage. Then we study the case of the singe population growth. Using the diffusion coefficient d as a bifurcation parameter , by the method of monotone dynamical system with cooperative order , we establish the global asymptotic stability of the washout steady state as d> d_0 and survival steady state as d<d_0 for some bifurcation point d_0. For the case of two species competition , we construct upper and lower solutions for the monotone dynamical system with competition order to establish the extinction and coexistence of two species.
