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

Fazly, M ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1016/j.nonrwa.2007.02.012
  3. Publisher: 2008
  4. Abstract:
  5. 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]. © 2007 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Dynamical systems ; Nonlinear programming ; Numerical methods ; Problem solving ; Time domain analysis ; Coincidence degree ; Dynamical system on time scales ; Nonautonomous predator prey systems ; Periodic solutions ; Predator prey systems ; Nonlinear systems
  8. Source: Nonlinear Analysis: Real World Applications ; Volume 9, Issue 3 , 2008 , Pages 1224-1235 ; 14681218 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S1468121807000478