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Analysis on a Stochastic Two-Species Ratio-Dependent Predator-Prey Model

  • Jingliang Lv
  • Ke Wang
  • Dongdong Chen
Article

Abstract

A stochastic two-species ratio-dependent predator-prey system is investigated. We show that there is a unique positive solution to the model for any positive initial value. Stochastically ultimate boundedness and uniform continuity are considered. Moreover, under some conditions, we conclude that the stochastic model is persistent in mean and extinct. Finally we introduce some figures to illustrate our main results.

Keywords

Predator-prey Stochastically ultimately boundedness Comparison theorem Persistence in mean 

AMS 2000 Subject Classifications

60H10 91B70 

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of MathematicsHarbin Institute of Technology (Weihai)WeihaiPeople’s Republic of China

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