Chaotic dynamics of a tri-topic food chain model with Beddington–DeAngelis functional response in presence of fear effect

The most important fact in the field of theoretical ecology and evolutionary biology is strategy predation for predators avoidance prey from predator attack. A lot experimental works suggest that reduction depends on both direct fear predation. We explore impact effect mutual interference among into a three-species food chain model. In this manuscript, we have considered tri-topic model with Beddington–DeAngelis functional response between interacting species, incorporating intermediate growth due to top predator, respectively. provided parametric conditions existence biologically feasible equilibria as well their local global stability. established transcritical, saddle-node Hopf bifurcation about different equilibria. Finally, performed some numerical investigations justify analytical findings.