Coexistence for a resource-based growth model with two resources

Y. Wang, Beijing Institute of Technology, Beijing, P.R. China
Y. Meng, Beijing Institute of Technology, Beijing, P.R. China

E. J. Qualitative Theory of Diff. Equ., No. 7. (2003), pp. 1-11.

Communicated by Bo Zhang. Appeared on 2003-01-01

Abstract: We investigate the coexistence of positive steady-state solutions to a parabolic system, which models a single species on two growth-limiting, non-reproducing resources in an un-stirred chemostat with diffusion. We establish the existence of a positive steady-state solution for a range of the parameter $(m,n)$, the bifurcation solutions and the stability of bifurcation solutions. The proof depends on the maximum principle, bifurcation theorem and perturbation theorem.

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