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

PDF
3Bao_Mao_Yin_Yuan.pdf - Draft Version Download (509kB) |

## 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: | 21 May 2015 14:17 |

Related URLs: | |

URI: | http://strathprints.strath.ac.uk/id/eprint/36918 |

### Actions (login required)

View Item |