THE IMPACT OF DISEASE AND HARVESTING ON THE DYNAMICAL BEHAVIOR OF PREY PREDATOR MODEL

Abstract

In this paper, a harvested prey-predator model involving infectious disease in prey is
considered. The existence, uniqueness and boundedness of the solution are
discussed. The stability analysis of all possible equilibrium points are carried out.
The persistence conditions of the system are established. The behavior of the system
is simulated and bifurcation diagrams are obtained for different parameters. The
results show that the existence of disease and harvesting can give rise to multiple
attractors, including chaos, with variations in critical parameters.