Analysis of a nonautonomous delayed predator-prey system with a stage structure for the predator in a polluted environment
type: Item
instance of: scholarly article
title: Analysis of a nonautonomous delayed predator-prey system with a stage structure for the predator in a polluted environment
zbMATH Open document ID: 1193.34172
DOI: 10.1155/2010/891812
author: G. P. Samanta
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2010-04-20T00:00:00Z
full work available at URL: https://eudml.org/doc/228013
review text: Summary: A two-species nonautonomous Lotka-Volterra type model with diffusional migration among the immature predator population, constant delay among the matured predators, and toxicant effect on the immature predators in a nonprotective patch is proposed. The scale of the protective zone among the immature predator population can be regulated through diffusive coefficients \(D_{i}(t), i=1,2\). It is proved that this system is uniformly persistent (permanence) under appropriate conditions. Sufficient conditions are derived to confirm that if this system admits a positive periodic solution, then it is globally asymptotically stable.
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K25
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K13
zbMATH DE Number: 5695265
Wikidata QID: Q58651458
MaRDI profile type: Publication
OpenAlex ID: W1980411343
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description: scientific article; zbMATH DE number 5695265