Effects of supplying additional food for a scavenger species in a prey-predator-scavenger model with quadratic harvesting

Abstract

ABSTRACT In this investigation, we proposed and analyzed a mathematical model among the interaction of prey-predator-scavenger species. Here, the harvesting of predator and scavenger have been considered. It is assumed that prey is consumed by predator and scavenger species consumes both dead prey as well as dead predator. It is also assumed that the scavenger species is partially supported by supplying constant amount of additional food. The boundedness and persistence conditions of the solution of the proposed model are derived. It is found that the model undergoes a Hopf-bifurcation around the interior equilibrium point. It is reported that the harvesting of predator and scavenger species can control the chaotic dynamics and make the system stable in the presence of additional food to the scavenger species. It is also reported that the supplying of additional food may make the system more stable than the system without supplying of additional food.