Coexistence for a resource-based growth model with two resources

Yifu Wang, Yijie Meng
2003 Electronic Journal of Qualitative Theory of Differential Equations  
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.
doi:10.14232/ejqtde.2003.1.7 fatcat:wmhtmf2zxzdi5j42be6c32nkeu