Stability analysis of a food chain model consisting of two competitive preys and one predator

The present article deals with the intra-specific competition among predator populations of a prey-dependent three-component food chain model system consisting of two competitive preys and one predator. The behaviour of the system near the biologically feasible equilibria is thoroughly analysed. Boundedness and dissipativeness of the system are established. The stability analysis including local and global stability of the equilibria has been carried out in order to examine the behaviour of the system. The present system experiences Hopf–Andronov bifurcation for suitable choice of parameters. The results of this investigation reveal that the intra-specific competition among predator populations can be beneficial for the survival of predator. The ecological implications of both the analytical and the numerical findings are discussed at length towards the end.