Abstract and Applied Analysis

Stochastic Delay Population Dynamics under Regime Switching: Permanence and Asymptotic Estimation

Zheng Wu, Hao Huang, and Lianglong Wang

Full-text: Open access

Abstract

This paper is concerned with a delay Lotka-Volterra model under regime switching diffusion in random environment. Permanence and asymptotic estimations of solutions are investigated by virtue of V -function technique, M -matrix method, and Chebyshev's inequality. Finally, an example is given to illustrate the main results.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 129072, 11 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393449435

Digital Object Identifier
doi:10.1155/2013/129072

Mathematical Reviews number (MathSciNet)
MR3064394

Zentralblatt MATH identifier
1329.60201

Citation

Wu, Zheng; Huang, Hao; Wang, Lianglong. Stochastic Delay Population Dynamics under Regime Switching: Permanence and Asymptotic Estimation. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 129072, 11 pages. doi:10.1155/2013/129072. https://projecteuclid.org/euclid.aaa/1393449435


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