In the current paper, the effect of fear in three species Beddington–DeAngelis food
chain model is investigated. A three species food chain model incorporating Beddington-
DeAngelis functional response is proposed, where the growth rate in the first and second level
decreases due to existence of predator in the upper level. The existence, uniqueness and
boundedness of the solution of the model are studied. All the possible equilibrium points are
determined. The local as well as global stability of the system are investigated. The persistence
conditions of the system are established. The local bifurcation analysis of the system is carried
out. Finally, numerical simulations are used to investigate the existence of chaos and
understand the effect of varying the system parameters. It is observed that the existence of fear
up to a critical value has a stabilizing effect on the system; otherwise it works as an extinction
factor in the system.
هبة عبدالله ابراهيم | Hiba Abdullah Ibrahim | 5042