Li, X. and Mao, X. and , National Natural Science Foundation of China (Funder) and , Key Project of Chinese Ministry of Education (Funder) and , Key Laboratory for Applied Statistics of MOE (KLAS) (Funder) (2009) Population dynamical behavior of nonautonomous LotkaVolterra competitive system with random perturbation. Discrete and Continuous Dynamical Systems  Series A, 24 (2). pp. 523593. ISSN 10780947

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Abstract
In this paper, we consider a nonautonomous stochastic LotkaVolterra competitive system dxi(t) = xi(t)[(bi(t)¡ nPj=1aij (t)xj (t))dt+¾i(t)dBi(t)], where Bi(t) (i = 1; 2; ¢ ¢ ¢ ; n) are independent standard Brownian motions. Some dynamical properties are discussed and the su±cient conditions for the existence of global positive solutions, stochastic permanence, extinction as well as global attractivity are obtained. In addition, the limit of the average in time of the sample paths of solutions is estimated.
Item type:  Article 

ID code:  13969 
Keywords:  brownian motion, stochastic di®erential equation, It^o's formula, stochastic permanence, global attractivity, Mathematics, Discrete Mathematics and Combinatorics, Analysis, Applied Mathematics 
Subjects:  Science > Mathematics 
Department:  Faculty of Science > Mathematics and Statistics 
Depositing user:  Mrs Carolynne Westwood 
Date Deposited:  11 Jan 2010 14:35 
Last modified:  24 Jul 2015 02:29 
URI:  http://strathprints.strath.ac.uk/id/eprint/13969 
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