The effect of fear on the dynamics of two competing prey-one predator system involving intra-specific competition

Abstract

A three-species food web model consisting of two competing prey – one predator with fear is created mathematically in the current work. Intra-specific competition within the predator's population, as well as a modified Holling type II functional response, are used. The study's goal is to look at the role of fear and intra-specific competition. Following a discussion of the solution's existence and uniqueness, other dynamical features of the solution, such as stability, persistence, and local bifurcation, were studied. Ultimately, the system is studied numerically with Matlab to fully understand global dynamics and the impact of altering parameter values. Different dynamical behaviors are discovered, such as stable point, stable line, and bi-stability.