Prey predator Model with Holling Type II Functional Response and Hunting Cooperation of Predators

Abstract

This research examines the interaction of two populations with Holling type II response functions and hunting

cooperation in predators. The mathematical model developed is based on natural phenomena, namely the interaction

between wolves and deer. Wolves often cooperate to hunt in packs, with most of their prey consisting of physically or

health weak individuals, one of which is deer. The dynamics analysis begins with determining the basic assumptions

of model construction, equilibrium and stability points, and numerical simulation using PPlane. The results of the

dynamics analysis show that there are three equilibrium points with stability types, namely E1(0,0) , which is

unstable, E2(k, 0) and E3 which is asymptotically stable under certain conditions. Numerical simulation results

show the existence of double stability at equilibrium points E2 and E3 with prey to predator conversion parameter

value 2.03 shows a change in stability that only occurs at point E2 . The difference in the value of prey to

predator conversion affects in the change in the system solution and has an impact on reducing the predator

population.