A delayed prey-predator system with parasitic infection

This paper analyzes a prey-predator system in which some members of the prey population and all predators are subjected to infection by a parasite. The predator functional response is a function of a weighted sum of prey abundances. Persistence and extinction criteria are derived. The stability of the interior equilibrium point is discussed. The role of delay is also addressed. Lastly the results are verified through computer simulation. Numerical simulation suggests that the delay has a destabilizing effect.