Analysis of a single species model with dissymmetric bidirectional impulsive diffusion and dispersal delay
type: Item
instance of: scholarly article
title: Analysis of a single species model with dissymmetric bidirectional impulsive diffusion and dispersal delay
zbMATH Open document ID: 1406.92699
DOI: 10.1155/2014/701545
author: Haiyun Wan
author: Long Zhang
author: Zhidong Teng
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: In most models of population dynamics, diffusion between two patches is assumed to be either continuous or discrete, but in the real natural ecosystem, impulsive diffusion provides a more suitable manner to model the actual dispersal (or migration) behavior for many ecological species. In addition, the species not only requires some time to disperse or migrate among the patches but also has some possibility of loss during dispersal. In view of these facts, a single species model with dissymmetric bidirectional impulsive diffusion and dispersal delay is formulated. Criteria on the permanence and extinction of species are established. Furthermore, the realistic conditions for the existence, uniqueness, and the global stability of the positive periodic solution are obtained. Finally, numerical simulations and discussion are presented to illustrate our theoretical results.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7010717
Wikidata QID: Q59054108
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/701545
OpenAlex ID: W2014648025
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description: scientific article; zbMATH DE number 7010717