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

机译:具有Beddington-DeAngelis功能响应的时滞捕食者-食饵系统的周期解决方案

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摘要

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 of periodic solutions in predator-prey and competition dynamic systems, Nonlinear. Anal.: Real World Appl. 7 (2006) 1193-1204; M. Fan, Y. Kuang, Dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelies functional response, J. Math. Anal. Appl. 295 (2004) 15-39; J. Zhang, J. Wang, Periodic solutions for discrete predator-prey systems with the Beddington-DeAngelis functional response, Appl. Math. Lett. 19 (2006) 1361-1366]. (C) 2007 Elsevier Ltd. All rights reserved.
机译:本文研究了具有Beddington-DeAngelis功能响应的非自治捕食者-食饵动力学系统周期解的存在性问题。我们在时间尺度上探索该系统的周期性。为周期解的存在导出了新的充分条件。这些条件扩展了先前在[M. Bohner,M。Fan,J。Zhang,捕食者-食饵和竞争动态系统中周期解的存在,非线性。肛门:真实世界应用。 7(2006)1193-1204; M. Fan,Y. Kuang,具有Beddington-DeAngelies功能响应的非自治捕食者-食饵系统的动力学,J。Math。肛门应用295(2004)15-39; J. Zhang,J。Wang,具有Beddington-DeAngelis功能响应的离散捕食者-食饵系统的周期解,Appl。数学。来吧19(2006)1361-1366]。 (C)2007 Elsevier Ltd.保留所有权利。

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