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2014 Dynamics of a Stochastic Cooperative Predator-Prey System with Beddington-DeAngelis Functional Response
Dongwei Huang, Yu Li, Yongfeng Guo
Abstr. Appl. Anal. 2014(SI37): 1-15 (2014). DOI: 10.1155/2014/927217

Abstract

Stochastic cooperative predator-prey system with Beddington-DeAngelis functional response is studied. It presents an investigation of dynamic properties of the system. Our results show that there exists a unique positive solution to the system for any positive initial value, and the positive solution is stochastically bounded. Moreover, under some conditions, we analyze global asymptotic stability of the positive solutions. With small environmental noises, the stochastic system is getting more similar to the corresponding deterministic system. Neither of the species in the system will die out. Finally, simulations are carried out to conform to our result.

Citation

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Dongwei Huang. Yu Li. Yongfeng Guo. "Dynamics of a Stochastic Cooperative Predator-Prey System with Beddington-DeAngelis Functional Response." Abstr. Appl. Anal. 2014 (SI37) 1 - 15, 2014. https://doi.org/10.1155/2014/927217

Information

Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07023325
MathSciNet: MR3240572
Digital Object Identifier: 10.1155/2014/927217

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI37 • 2014
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