Analysis of Prey-Predator Model in Chemostat When the Predator Produces Inhibitor

[摘要] In this work, a prey-predator model in chemostat is considered when the predator produces inhibitor. This inhibitor is lethal to the prey by results in decrease of growth rate of the predator at some cost to its reproductive abilities. A Lyapunov function in the study of the global stability of a predator-free steady state is analysed. Local and global stability of other steady states, persistence analysis, as well as numerical simulations are also presented.

[关键词] Persistence;Inhibitor;Chemostat;Prey;Predator;Lyapunov function