TURK 2025

This paper presents the development of a three-species food web model using interactions in diseased predator-prey dynamics. The model considers two types of prey populations: susceptible and diseased, both of which are assumed to grow logistically in the absence of predators. We examine the effect of fear on susceptible prey due to infected prey. In Beddington-de-Angelis-type relationships, we assume that the predator is interdependent regardless of whether the predator is searching for prey or handling prey. The model also incorporates the harvesting of both susceptible and infected prey. We establish the existence of all potential equilibrium points within the biological system and examine them for their local and global stability. Additionally, we explore a Hopf-bifurcation analysis associated with the harvesting rate (h1). We present numerical simulations to understand the complex interactions between predators and prey and to explain some of the observed phenomena.