DYNAMICS OF A COMPETITION MODEL WITH INTRA- AND INTERSPECIFIC INTERFERENCE IN THE UNSTIRRED CHEMOSTAT

This paper deals with an unstirred chemostat system with intra-and interspecific interference. We first investigate the uniqueness and asymp-totic behaviors of the positive steady state solution of the single species model. The results show that the species cannot survive when the intraspecific inter-ference is large enough. For two species system, we find that the two species can coexist when the influence of interspecific interference is relatively small, and that the system has no positive steady-state solution when the strength of interspecific interference is large enough. Furthermore, we study the influ-ence of diffusion rate on species coexistence. The results show that for large diffusion rate, both species will be washed out, and the competition exclusion occurs at small diffusion rate. This indicates that species coexistence only occurs at intermediate diffusion rate.