In the Department of Mathematics, the researcher Hanna Rasool Hadi discussion was held under the supervision of Prof. Dr. Azhar Abbas Majeed,  In this study, a food web prey-predator model in the presence of anti –predator and fear was proposed and studied by using Holling’s type IV and Crowley-Martin functional responses. The solution’s existence, uniqueness, and boundedness have all been carried out. The stability analyses of all possible equilibrium points have been studied. By suitable Lyapunov functions the conditions of global stability of all these equilibrium points have been found suitable. Moreover, the conditions of local bifurcation (saddle-node, transcritical, pitch fork) have been satisfied. Finally, numerical simulation for a two sets of parameters valu and different sets of initial conditions have been applied to confirm the analytical results.

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