Application of Mawhin's coincidence degree and matrix spectral theory to a delayed system
type: Item
instance of: scholarly article
title: Application of Mawhin's coincidence degree and matrix spectral theory to a delayed system
zbMATH Open document ID: 1258.34115
DOI: 10.1155/2012/940287
author: Yonghui Xia
author: Xiang Gu
author: Syed Abbas
author: Patricia J. Y. Wong
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: Summary: This paper gives an application of Mawhin's coincidence degree and matrix spectral theory to a predator-prey model with \(M\) predators and \(N\) preys. Some sufficient conditions are obtained for the existence and global asymptotic stability of a periodic solution. The existence and stability conditions are given in terms of spectral radius of explicit matrices. Finally, an example is given to show the feasibility of our results.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 6116476
Wikidata QID: Q58697130
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/940287
OpenAlex ID: W1975975614
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description: scientific article; zbMATH DE number 6116476