Dynamics of a food chain model with herd behaviour of the prey

Abstract

Many prey populations live in herds and so, in spite of all individuals, only the members of outer surface interact with other species. To represent such prey-predator interaction ‘square root functional response’ is more suitable. In this paper, dynamical complexities of a three species food web is investigated where the prey species shows a herd behaviour. Boundedness and stability analysis is carried out. Bifurcation analysis is presented. Our analytical findings are verified through computer simulations.