Global stability analysis of a nonautonomous stage-structured competitive system with toxic effect and double maturation delays
type: Item
instance of: scholarly article
title: Global stability analysis of a nonautonomous stage-structured competitive system with toxic effect and double maturation delays
zbMATH Open document ID: 1474.92081
DOI: 10.1155/2014/689573
author: Chao Liu
author: Yuanke Li
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We investigate a nonautonomous two-species competitive system with stage structure and double time delays due to maturation for two species, where toxic effect of toxin liberating species on nontoxic species is considered and the inhibiting effect is zero in absence of either species. Positivity and boundedness of solutions are analytically studied. By utilizing some comparison arguments, an iterative technique is proposed to discuss permanence of the species within competitive system. Furthermore, existence of positive periodic solutions is investigated based on continuation theorem of coincidence degree theory. By constructing an appropriate Lyapunov functional, sufficient conditions for global stability of the unique positive periodic solution are analyzed. Numerical simulations are carried out to show consistency with theoretical analysis.
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7022881
Wikidata QID: Q59040610
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/689573
OpenAlex ID: W2145239856
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description: scientific article; zbMATH DE number 7022881