Author:
Lu Weijie, ,Xia Yonghui,Bai Yuzhen,
Abstract
<abstract>
<p>In this paper, we consider a delayed stage-structured predator-prey model incorporating prey refuge with Holling type Ⅱ functional response. It is assumed that prey can live in two different regions. One is the prey refuge and the other is the predatory region. Moreover, in real world application, we should consider the stage-structured model. It is assumed that the prey in the predatory region can divided by two stages: Mature predators and immature predators, and the immature predators have no ability to attack prey. Based on Mawhin's coincidence degree and novel estimation techniques for a priori bounds of unknown solutions to <italic>Lu</italic> = <italic>λNu</italic>, some sufficient conditions for the existence of periodic solution is obtained. Finally, an example demonstrate the validity of our main results.</p>
</abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modelling and Simulation,General Medicine
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