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2014 Global Stability Analysis of a Nonautonomous Stage-Structured Competitive System with Toxic Effect and Double Maturation Delays
Chao Liu, Yuanke Li
Abstr. Appl. Anal. 2014(SI18): 1-15 (2014). DOI: 10.1155/2014/689573

Abstract

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.

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Chao Liu. Yuanke Li. "Global Stability Analysis of a Nonautonomous Stage-Structured Competitive System with Toxic Effect and Double Maturation Delays." Abstr. Appl. Anal. 2014 (SI18) 1 - 15, 2014. https://doi.org/10.1155/2014/689573

Information

Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022881
MathSciNet: MR3273914
Digital Object Identifier: 10.1155/2014/689573

Rights: Copyright © 2014 Hindawi

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Vol.2014 • No. SI18 • 2014
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