Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 430, Issue 1, Pages 428-437Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2015.04.058
Keywords
Lotka-Volterra predator-prey system; Periodic solution; White noise; Non-autonomous; Persistence in mean
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Funding
- NSFC of China [11371085]
- Fundamental Research Funds for the Central Universities [15CX08011A, 2005]
- NNSF of China [11201095]
- Ph.D. Programs Foundation of Ministry of China [200918]
- Supporting Plan Project of Harbin Engineering University [307201411008]
- Foundation of Hainan Provincial Science and Technology Department [20151009]
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This paper studies a stochastic non-autonomous Lotka-Volterra predator-prey model. We prove that there exists at least one positive periodic solution under some simple and reasonable conditions. In addition we obtain sufficient conditions for persistence in mean and extinction for the stochastic non-autonomous system. Our method and results are new and the ideas could be used to study other types of non-autonomous stochastic predator prey systems. (C) 2015 Elsevier Inc. All rights reserved.
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