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Discrete Dynamics in Nature and Society
Volume 2017 (2017), Article ID 7037245, 15 pages
Research Article

Coexistence for an Almost Periodic Predator-Prey Model with Intermittent Predation Driven by Discontinuous Prey Dispersal

College of Mathematics and System Science, Xinjiang University, Urumqi 830046, China

Correspondence should be addressed to Long Zhang

Received 26 July 2017; Accepted 23 October 2017; Published 6 December 2017

Academic Editor: Guang Zhang

Copyright © 2017 Yantao Luo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An almost periodic predator-prey model with intermittent predation and prey discontinuous dispersal is studied in this paper, which differs from the classical continuous and impulsive dispersal predator-prey models. The intermittent predation behavior of the predator species only happens in the channels between two patches where the discontinuous migration movement of the prey species occurs. Using analytic approaches and comparison theorems of the impulsive differential equations, sufficient criteria on the boundedness, permanence, and coexistence for this system are established. Finally, numerical simulations demonstrate that, for an intermittent predator-prey model, both the intermittent predation and intrinsic growth rates of the prey and predator species can greatly impact the permanence, extinction, and coexistence of the population.