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http://dx.doi.org/10.4134/BKMS.2016.53.1.103

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.1, 2016 , pp. 103-117 More about this Journal
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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