Abstract and Applied Analysis

Stochastic Delay Population Dynamics under Regime Switching: Global Solutions and Extinction

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. By using generalized Itô formula, Gronwall inequality and Young’s inequality, some sufficient conditions for existence of global positive solutions and stochastically ultimate boundedness are obtained, respectively. Finally, an example is given to illustrate the main results.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 918569, 10 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393449439

Digital Object Identifier
doi:10.1155/2013/918569

Mathematical Reviews number (MathSciNet)
MR3049379

Zentralblatt MATH identifier
1271.92040

Citation

Wu, Zheng; Huang, Hao; Wang, Lianglong. Stochastic Delay Population Dynamics under Regime Switching: Global Solutions and Extinction. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 918569, 10 pages. doi:10.1155/2013/918569. https://projecteuclid.org/euclid.aaa/1393449439


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