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Global Stability Analysis of a Nonautonomous Stage-Structured Competitive System with Toxic Effect and Double Maturation Delays
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-19
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, Chao& Li, Yuanke. 2014. Global Stability Analysis of a Nonautonomous Stage-Structured Competitive System with Toxic Effect and Double Maturation Delays. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1033937
Modern Language Association (MLA)
Liu, Chao& Li, Yuanke. Global Stability Analysis of a Nonautonomous Stage-Structured Competitive System with Toxic Effect and Double Maturation Delays. Abstract and Applied Analysis No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-1033937
American Medical Association (AMA)
Liu, Chao& Li, Yuanke. Global Stability Analysis of a Nonautonomous Stage-Structured Competitive System with Toxic Effect and Double Maturation Delays. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1033937
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033937