IMPACT OF FEAR ON A CROWLEY-MARTIN ECO-EPIDEMIOLOGICAL MODEL WITH PREY HARVESTING

In this paper, we develop a three-species food web model using interactions between diseased predator-prey models. Logistically growing prey populations are divided into two categories: susceptible and infected prey. Presumably, prey populations expand logistically in the absence of predators. In the proposed system, we investigate the effect of fear on susceptible prey through infected prey populations. In Crowley-Martin-type interactions, there is interdependence between predators, regardless of whether an individual predator is searching for prey or handling prey at the time. Infected prey consumes its susceptible prey in the form of Holling-type interactions. Also, prey harvesting of susceptible and infected prey was considered. The positive invariance, positivity, and boundedness of the model are investigated. Conditions for the existence of all biologically possible equilibrium points are established. A criterion for the local and global stability of equilibrium points in a non-delay system is investigated. Furthermore, we examine the Hopf-bifurcation analysis for the proposed model in the presence of the fear effect. Finally, we demonstrate some numerical simulation results to illustrate our main analytical findings.