Coexistence and stability of an unstirred chemostat model with Beddington–DeAngelis function

Bifurcation and Stability for the Unstirred Chemostat Model with Beddington-deangelis Functional

Abstract. In this paper, we consider a basic N-dimensional competition model in the unstirred chemostat with Beddington-DeAngelis functional response. The bifurcation solutions from a simple eigenvalue and a double eigenvalue are obtained respectively. In particular, for the double eigenvalue, we establish the existence and stability of coexistence solutions by the techniques of space decomposi...

Competition in the Unstirred Chemostat with Periodic Input and Washout

Stability and Bifurcation of an SIS Epidemic Model with Saturated Incidence Rate and Treatment Function

       In this paper an SIS epidemic model with saturated incidence rate and treatment func- tion is proposed and studied. The existence of all feasible equilibrium points is discussed. The local stability conditions of the disease free equilibrium point and endemic equilibrium point are established with the help of basic reproduction number.However the global stabili- ty conditions of these eq...

Further studies of a reaction-diffusion system for an unstirred chemostat with internal storage

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, ...

The Effect of Inhibitor on the Plasmid-Bearing and Plasmid-Free Model in the Unstirred Chemostat

This paper deals with a chemostat model with an inhibitor in the context of competition between plasmid-bearing and plasmid-free organisms. First, sufficient conditions for coexistence of the steady-state are determined. Second, the effects of the inhibitor are considered. It turns out that the parameter μ, which represents the effect of the inhibitor, plays a very important role in deciding th...