Global Stability Analysis of Predator-Prey Model with Harvesting and Delay

Rujira Ouncharoen, Sirada Pinjai, Thongchai Dumrongpokaphan, Yongwimon Lenbury

Abstract

We study the global stability of a Michaelis-Menten type predator-prey model with harvesting and delay. Sufficient conditions on the system parameters are derived which guarantee that the equilibrium points of the system are globally asymptotically stable while the delay which has an effect on the stability of this system satisfies certain conditions. Numerical simulations are shown to confirm our theoretical results.