V.A. Fitria, A. Suryanto, Trisilowati
In this paper we study the dynamics of predator-prey model with allelopathic effect on prey. We find that the model has four equilibrium points that are extinction of prey equilibrium, the extinction of predator equilibrium, the extinction of both predator and prey, and the coexistence equilibrium. It is shown that the extinction of predator equilibrium and the extinction of both predator and prey equilibrium are unstable, while the extinction of prey equilibrium is conditionally stable. The coexistence equilibrium is unconditionally stable. The analytical results are confirmed by numerical simulations. © 2015 AIP Publishing LLC.
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Brawijaya University, Jl. Veteran-Malang, 65145, Indonesia
