Behavior of the Solutions for Predator-Prey Dynamic Systems with Beddington-DeAngelis Type Functional Response on Periodic Time Scales in Shifts

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 ...

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 discrete predator-prey systems with the Beddington-DeAngelis functional response

Sufficient criteria are established for the existence of positive periodic solutions of discrete nonautonomous predator–prey systems with the Beddington–DeAngelis functional response using a continuation theorem. c © 2006 Elsevier Ltd. All rights reserved.

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

Existence of Periodic Solutions in a Discrete Predator-Prey System with Beddington-DeAngelis Functional Responses

A discrete predator-prey model with Holling II and Beddington-DeAngelis functional responses is investigated. With the aid of differential equations with piecewise constant arguments, a discrete version of continuous nonautonomous delayed predator-prey model with BeddingtonDeAngelis functional responses is proposed. By using Gaines andMawhin’s continuation theorem of coincidence degree theory, ...