The role of prey vigilance, cannibalism, and hunting cooperation on prey-predator dynamics

Abstract

Examining a prey-predator system that includes intricate behaviors like cannibalism, prey vigilance, and predators' hunting coordination is necessary to comprehend the complex dynamics of natural systems. These factors significantly affect population stability, persistence, and environmental equilibrium. Consequently, a novel prey-predator model with these features is proposed for study in this paper. Using the Lyapunov method of equilibria, the requirements for global stability, local stability with the aid of the linearization approach, and the existence of equilibria were established. Local bifurcation types in the sense of Sotomayor and Hopf bifurcations were detected. Finally, numerical simulations are used to comprehend how changing the parameters affects the model's dynamics.