Impact of Fear on a Crowley–Martin Eco-Epidemiological Model with Prey Harvesting

• Published in: Engineering proceedings 2023-11, Vol.56 (1), p.296
• Main Authors: Divya Arumugam, Sivabalan Muthurathinam, Ashwin Anbulinga, Siva Pradeep Manickasundaram
• Format: Article
• Language: English
• Subjects: Crowley–Martin functional response; eco-epidemiological model; Hopf-bifurcation; prey harvesting and impact of fear; stability analysis
• ISSN: 2673-4591
• DOI: 10.3390/ASEC2023-15908

In this paper, we develop a three-species food web model that incorporates the use of interactions between diseased predator–prey models. The logistically growing prey populations are susceptible and diseased prey. Prey populations are assumed to grow logistically in the absence of predators. We investigate the effect of fear on susceptible prey through infected prey populations. In Crowley–Martin-type interactions, it is assumed that interdependence between predators happens regardless of whether an individual predator is searching for prey or handling prey at the time. Also, the prey harvesting of susceptible and infected prey has been considered. The existence of all possible equilibrium points for biological systems has been established. The criteria for the local and global stability of equilibrium points are examined. Additionally, we look at Hopf-bifurcation analysis for the suggested model in relation to the existence of harvesting rate (h1) . Numerical simulations are provided in order to explain the phenomenon and comprehend the complex interactions between predators and prey.