Abstract

This paper concentrates on the study of delay effect on a chemostat type model of two competing organisms in the presence of toxicant. It is assumed that one of the competitors is affected by the toxicant while other detoxifies (absorbs) the toxicant. Uniform persistence and the stability of interior equilibrium point is discussed. Delay analysis has been carried out when the organisms are in coexistence, bistable and dominance respectively. Lastly the results are verified through computer simulation. Numerical simulation suggests that delay has a destabilizing effect (may lead to stability switches).

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