Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2016; 53(1): 103-117

Printed January 31, 2016

https://doi.org/10.4134/BKMS.2016.53.1.103

Copyright © The Korean Mathematical Society.

Dynamic analysis of a modified stochastic predator-prey system with general ratio-dependent functional response

Yu Yang and Tonghua Zhang

Zhejiang International Studies University, Swinburne University of Technology

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

MSC numbers: Primary 60H10, 92D25