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Competitive Lotka–Volterra population dynamics with jumps

Bao, Jianhai and Mao, Xuerong and Yin, Geroge and Yuan, Chenggui (2011) Competitive Lotka–Volterra population dynamics with jumps. Nonlinear Analysis: Theory, Methods and Applications, 74 (17). pp. 6601-6616. ISSN 0362-546X

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Abstract

This paper considers competitive Lotka–Volterra population dynamics with jumps. The contributions of this paper are as follows. (a) We show that a stochastic differential equation (SDE) with jumps associated with the model has a unique global positive solution; (b) we discuss the uniform boundedness of the pth moment with p > 0 and reveal the sample Lyapunov exponents; (c) using a variation-of-constants formula for a class of SDEs with jumps, we provide an explicit solution for one-dimensional competitive Lotka–Volterra population dynamics with jumps, and investigate the sample Lyapunov exponent for each component and the extinction of our n-dimensional model.

Item type: Article
ID code: 36918
Keywords: Lotka-Volterra model, jumps, stochastic boundedness, Lyapunov exponent, variation-of-constants formula, extinction, Probabilities. Mathematical statistics, Analysis, Applied Mathematics
Subjects: Science > Mathematics > Probabilities. Mathematical statistics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Pure Administrator
Date Deposited: 20 Jan 2012 15:13
Last modified: 28 Aug 2015 04:07
Related URLs:
URI: http://strathprints.strath.ac.uk/id/eprint/36918

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