In this paper, we study an impulsively controlled predator-prey model with MonodHaldane functional response. By using the Floquet theory, we prove that there exists a stable prey-free solution when the impulsive period is less than some critical value, and give the condition for the permanence of the system. In addition, we show the existence and stability of a positive periodic solution by using bifurcation theory.
The dynamic behavior of a predator-prey model with Holling type IV functional response is investigated with respect to impulsive control strategies. The model is analyzed to obtain the conditions under which the system is locally asymptotically stable and permanent. Existence of
4 In this article, we propose a general predator-prey system with prey subject to Allee effects and disease with the following unique features: (i) Allee effects built in the reproduction process of prey where infected prey (I-class) has no contribution; (ii) Consuming infected p
We investigate an impulsive predator-prey system with Monod-Haldane type functional response and control strategies, especially, biological and chemical controls. Conditions for the stability of the prey-free positive periodic solution and for the permanence of the system are est
Taking impulsive effects into account, an stochastic predator–prey system with the Beddington–DeAngelis functional response is proposed in this paper. First, transformed equivalent without pulses. Then, by constructing suitable functionals and applying extreme-value theory of qua