Journal
MATHEMATICAL BIOSCIENCES AND ENGINEERING
Volume 17, Issue 4, Pages 3160-3174Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/mbe.2020179
Keywords
periodic solution; stage-structured; prey refuge
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Funding
- National Natural Science Foundation of China [11931016]
- Natural Science Foundation of Zhejiang Province [LY20A010016]
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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 Lu = lambda Nu, some sufficient conditions for the existence of periodic solution is obtained. Finally, an example demonstrate the validity of our main results.
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