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 decomposition and Lyapunov-Schmidt procedure. Moreover, we describe the global structure of these bifurcation solutions.
"Bifurcation and Stability for the Unstirred Chemostat Model with Beddington-DeAngelis Functional Response." Taiwanese J. Math. 20 (4) 849 - 870, 2016. https://doi.org/10.11650/tjm.20.2016.5482