Predator-prey model of Holling-type II with harvesting and predator in disease

Abstract

A modified predator-prey model is introduced with Holling-type II.  Including a constant rate of harvesting in both infected predators by prey, and predators who are prone to disease.  An existence of positive biological equilibrium and uniformly boundedness of the present system are obtained as well.  Furthermore, the local stability conditions are defined based on Routh-Hurwitz criteria.  Finally, an effective Lyapunov function was performed to check the global asymptotic stability of the interior equilibrium point.