Display Abstract

Title On a reaction-diffusion system for an unstirred chemostat with internal storage

Name Sze-Bi Hsu
Country Taiwan
Email sbhsu@math.nthu.edu.tw
Co-Author(s) Junping Shi, Feng-Bin Wang
Submit Time 2014-02-23 07:29:02
Session
Special Session 18: Nonlinear elliptic and parabolic problems
Contents
The dynamics of a reaction-diffusion system for two species of microorganism in an unstirred chemostat with internal storage is studied. It is shown that the diffusion coefficient is a key parameter of determining the asymptotic dynamics, and there exists a threshold diffusion coefficient above which both species become extinct. On the other hand, for diffusion coefficient below the threshold, either one species or both species persist, and in the asymptotic limit, a steady state showing competition exclusion or coexistence is reached.