Simple Food Chain in Chemostat When the Predator Produces Unaffected Toxin

Document Type : Original Article

Author

Akhbar El-Yom Academy, 6 October City, Giza (12573), Egypt.

Abstract

In this paper, Simple food chain in chemostat when the predator produces unaffected toxin is
considered. This inhibitor is not lethal to neither prey nor nutrient and 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 considered. Local and global stability of other steady states, persistence analysis, as
well as numerical simulations are also presented.

Keywords