Bifurcation in Coupled Predator-Prey Model with Time Delay

Abstract

Hopf Bifurcation occurs when a periodic solution or limit cycle, surrounding an equilibrium point, arises or goes away as the bifurcation parameter is varied. Predator- prey systems are known to have periodic solutions. We find the conditions under which these periodic solutions will disappear as the bifurcation parameter (time delay) is varied.