Coexistence and Numerical Solutions of the Unstirred Chemostat Model

This paper studies a competition model between two species for two resources in the chemostat with the Beddington-DeAngelis functional response. The sufficient condition to the coexistence of positive steady state solutions is obtained by the mathematical methods of the fixed point degree theory in cones. Finally, Some results of numerical simulations is presented to prove and complement the previous mathematical results by numerical computation method. Furthermore, the research result implies that two species in the biological environment can be coexistence after a long time.