A Prey-Predator Model with Allee Effect in Prey and Herd Behaviour in Both

Abstract

This paper aims to study the dynamical behaviours of a prey-predator system, where both the prey and predator show herd behaviour and the prey is also susceptible to strong Allee effect. Positivity and boundedness of the system are discussed. Some criteria for the extinction of prey and predator populations are derived. Stability analysis of the equilibrium points is presented. Numerical simulations are carried out to validate our analytical findings. Implications of our analytical and numerical findings are discussed critically.