Existence and global asymptotic stability of positive almost periodic solutions of a two-species competitive system-Reference-Cited by-同舟云学术

Existence and global asymptotic stability of positive almost periodic solutions of a two-species competitive system

Published:2014-06-25 Issue:04 Volume:07 Page:1450040
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

Wang Qinglong¹,Liu Zhijun¹,Li Zuxiong¹,Cheke Robert A.²

Affiliation:

1. Department of Mathematics, Hubei University for Nationalities, 445000 Enshi Hubei, P. R. China

2. Natural Resources Institute, University of Greenwich at Medway, Central Avenue, Chatham Maritime, Chatham, Kent ME4 4TB, UK

Abstract

The asymptotic behavior of an almost periodic competitive system is investigated. By using differential inequality, the module containment theorem and the Lyapunov function, a good understanding of the existence and global asymptotic stability of positive almost periodic solutions is obtained. Finally, an example and numerical simulations are performed for justifying the theoretical results.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793524514500405

Reference15 articles.

1. Almost periodic solutions of -dimensional impulsive competitive systems

2. On almost periodic solutions for an impulsive delay logarithmic population model

3. Almost periodic solutions of a nonlinear ecological model

4. Global asymptotic stability in an almost-periodic Lotka-Volterra system

5. Stability and Oscillations in Delay Differential Equations of Population Dynamics

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