title: A competition model of the chemostat with an external inhibitor.
abstract: A competition model of the chemostat with an external inhibitor is considered. This inhibitor is lethal to one competitor and results in the decrease of growth rate of this competitor. The existence and stability of the extinction equilibria are discussed by using Liapunov function. The necessary and sufficient condition guaranteeing the existence of the interior equilibrium is given. It is found by numerical simulation that the system may be globally stable or have a stable limit cycle if the interior equilibrium exists.
authors.affiliation: Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, China and Systems Engineering Institute, Xi'an Jiaotong University, Xi'an 710049, China and Department of Applied Mathematics and Physics, Air Force Engineering University, Xi'an 710051, China. jianq_li@263.net.
authors.forename: Jianquan
authors.initials: J
authors.lastname: Li
authors.forename: Zuren
authors.initials: Z
authors.lastname: Feng
authors.forename: Juan
authors.initials: J
authors.lastname: Zhang
authors.forename: Jie
authors.initials: J
authors.lastname: Lou