Removal of infected prey prevent limit cycle oscillations in an infected prey–predator system—a mathematical study

Predator–prey model with harvesting is well studied. The role of disease in such system has a great importance and can not be ignored. A mathematical model of a predator–prey system with infection on prey population is proposed and analyzed. In the formulation of the model, we assume that the predator response function is of Holling type II and the mode of disease transmission follows simple mass action law. Conditions for the persistence of the species is worked out. Our equilibrium and numerical analysis show that harvesting of infected prey population prevents the limit cycle oscillations and may be used as a biological control for the persistence of infected prey–predator dynamics. The applicability of the model in a real life situation is also discussed.