Abstract
This paper analyzes a prey–predator system where the prey population is infected by a microparasite. The predator functional response is of a Holling type II. We study three cases for the predator food choice. Persistence conditions are derived when predators attack the healthy and infected prey simultaneously. A persistence condition is also derived when predators consume infected prey only. It is shown that when predators attack healthy prey only, then the system cannot be uniformly persistent. The role of delay is also discussed for a system with the predator consuming both types of prey. The parameters are identified which influence the persistence of all the populations as well as impermanence. Numerical examples are provided to support our results.
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