Healthy Predator Crowding on a Delayed Non-autonomous Eco-epidemic System

Abstract

This article presents a delayed non-autonomous eco-epidemiological prey-predator model with predator infection. The author considered incubation delay of infection in predator over-crowding among healthy species. The article contains the system solution’s existence, boundedness, and uniform persistence under certain conditions. The numerical simulation confirms analytical findings. The analysis of autonomous and non-autonomous models for the same incubation delays shows that the autonomous system leads stability to bifurcation while crossing the threshold value to incubation delay. However, the non-autonomous model leads from stability to chaos while crossing threshold values. Finally, simulating the effect of healthy predator crowding shows that increasing healthy predator crowding helps to remove infection from the environment.