Investigation on dynamics of an impulsive predator–prey system with generalized Holling type IV functional response and anti-predator behavior

Abstract In the present article, we propose and analyze a new mathematical model for predator–prey system including following terms: Monod–Haldane functional response (a generalized Holling type IV), term describing anti-predator behavior of prey populations one an impulsive control strategy. particular, establish existence condition under which has locally asymptotically stable prey-eradication periodic solution. Violating such condition, turns out to be permanent. Employing bifurcation theory, some conditions, stability positive solution occur but its becomes unstable, are provided. Furthermore, numerical simulations proposed given confirm obtained theoretical results.