Predator control policy for prey-predator system with group defence in prey and Allee effect in predator

Abstract

The present work discusses a simple two-species model of a predator-prey with group defense for prey species and a weak Allee effect. The local dynamics revealed that the system could undergo Hopf bifurcation as well as have an extinction domain. Combinations of different control methods have been thoroughly researched, and the policy reduces the predator population and increases the prey population simultaneously. Finally, some numerical illustrations are provided to validate our analytical results using various parameter sets. According to the findings, increasing the parameter value of γ (aggregation efficiency) under the optimal control strategy does not affect on predator or prey biomass.