Refugia and environmental toxicity stabilizes the chaotic dynamics in tri-trophic food chain with omnivory nature in top-predator

  • Krishna Pada Das Mahadevananda Mahavidyalaya Department Of Mathematics Monirampore P.O.-Barrackpore Kol-120



In this article, we have proposed a tri-trophic food chain model with omnivory nature in top-predator. We have investigated the prey-predator system by incorporating prey refuge and environmental toxicity. The predator population is divided into two categories: middle predator and top predator. The dynamic behavior of the proposed system is investigated by analyzing the existence and stability conditions of the equilibrium points. The system experiences transcritical bifurcation and Hopf bifurcation with respect to the mortality rates of the predator population as the bifurcation parameters. The numerical simulations are carried out to substantiate our analytical findings. The chaotic behavior is analyzed numerically. In this paper, we dedicate ourselves to investigate the complex dynamics of the system for maintaining the coexistence of the population which is important for the ecological balance in the environment.