Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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DYNAMIC ANALYSIS OF A MODIFIED STOCHASTIC PREDATOR-PREY SYSTEM WITH GENERAL RATIO-DEPENDENT FUNCTIONAL RESPONSE

  • Yang, Yu (School of Science and Technology Zhejiang International Studies University) ;
  • Zhang, Tonghua (Department of Mathematics Swinburne University of Technology)
  • Received : 2014.12.31
  • Published : 2016.01.31

Abstract

Abstract. In this paper, we study a modified stochastic predator-prey system with general ratio-dependent functional response. We prove that the system has a unique positive solution for given positive initial value. Then we investigate the persistence and extinction of this stochastic system. At the end, we give some numerical simulations, which support our theoretical conclusions well.

Keywords

predator-prey model;functional response;persistent;extinct;Brownian motion

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Acknowledgement

Supported by : Zhejiang Provincial Natural Science Foundation of China

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