Periodic Solution of Prey-Predator Model with Beddington-DeAngelis Functional Response and Impulsive State Feedback Control

Periodic Solution of Prey-Predator Model with Beddington-DeAngelis Functional Response and Impulsive State Feedback Control

A prey-predator model with Beddington-DeAngelis functional response and impulsive state feedback control is investigated. We obtain the sufficient conditions of the global asymptotical stability of the system without impulsive effects. By using the geometry theory of semicontinuous dynamic system and themethod of successor function, we obtain the systemwith impulsive effects that has an order o...

Positive periodic solutions of neutral predator-prey model with Beddington-DeAngelis functional response

Periodic Solutions for A Predator-Prey Model with Beddington-DeAngelis Type Functional Response on Time Scales

TIn this paper, the existence of periodic solutions of a predator-prey model with Beddington-DeAngelis type functional response is investigated by using the Gaines and Mawhins continuation theorem of coincidence degree theory on time scales. Some conditions are obtained for the existence of periodic solutions. The approach is unified to provide the existence of the desired solutions for the con...

Periodic solutions for predator–prey systems with Beddington–DeAngelis functional response on time scales

This paper deals with the question of existence of periodic solutions of nonautonomous predator–prey dynamical systems with Beddington–DeAngelis functional response. We explore the periodicity of this system on time scales. New sufficient conditions are derived for the existence of periodic solutions. These conditions extend previous results presented in [M. Bohner, M. Fan, J. Zhang, Existence ...

Permanence of a Discrete Predator-Prey Systems with Beddington-DeAngelis Functional Response and Feedback Controls

Recommended by Leonid Berezansky We propose a discrete predator-prey systems with Beddington-DeAngelis functional response and feedback controls. By applying the comparison theorem of difference equation, sufficient conditions are obtained for the permanence of the system.