Asymptotic properties of a stochastic chemostat model with Holling II functional response

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/238524

Title: Asymptotic properties of a stochastic chemostat model with Holling II functional response
Author(s): Wang, Lu; Yuan, Sanling; Zhang, Tonghua
Abstract: In this paper, a stochastic chemostat model with Holling II functional response and the nutrition conversion rate being influenced by white noise is considered. By constructing stochastic Liapunov function and using stopping time and Ito's formula, it is shown that there is an unique positive solution to the system with positive initial value. The long time behavior of the system is studied. Mainly, how the solution goes around the equilibriums of the corresponding deterministic system under different conditions is disclosed.
Publication type: Journal article
Research centre: Swinburne University of Technology. Faculty of Engineering and Industrial Sciences
Source: Applied Mathematics: a Journal of Chinese Universities, Vol. 27, no. 4 (2012), pp. 379-389
Publication year: 2012
FOR Code(s): 0102 Applied Mathematics
Keyword(s): Ito's formula; Stochastic chemostat model; Stochastically asymptotical stability; White noise
Publisher: Zhejiang University
Language: Chinese
ISSN: 1005-1031
Publisher URL: http://gxyysxxb-e.periodicals.net.cn/default.html
Peer reviewed