Dynamics of Predator-Prey System with Migrating Species and Disease in Prey Population

In the proposed model, a prey-predator system with migration in both species along with the disease in prey population is considered. To study the dynamics among healthy predator, susceptible prey and infected prey, Holling type II functional response is incorporated. The model has been examined using local stability analysis around the existing equilibrium points and by considering migration in susceptible prey as the control parameter, bifurcation conditions are discussed in brief. Basic reproduction number is determined which affirms the disease to be endemic or not and global stability analysis has been implemented using geometric approach. At the end, numerical simulation to support theoretical results is exhibited.