Existence of positive periodic solutions for a predator-prey system of Holling type IV function response with mutual interference and impulsive effects
type: Item
instance of: scholarly article
title: Existence of positive periodic solutions for a predator-prey system of Holling type IV function response with mutual interference and impulsive effects
zbMATH Open document ID: 1418.92110
DOI: 10.1155/2015/138984
author: H. D. Liu
author: Fanwei Meng
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: We investigate the existence of periodic solutions for a predator-prey system with Holling function response and mutual interference. Our model is more general than others since it has both Holling type IV function and impulsive effects. With some new analytical tricks and the continuation theorem in coincidence degree theory proposed by Gaines and Mawhin, we obtain a set of sufficient conditions on the existence of positive periodic solutions for such a system. In addition, in the remark, we point out some minor errors which appeared in the proof of theorems in some published papers with relevant predator-prey models. An example is given to illustrate our results.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34C60
zbMATH DE Number: 7025226
Wikidata QID: Q59105295
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/138984
OpenAlex ID: W2067359233
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description: scientific article; zbMATH DE number 7025226