The threshold of stochastic chemostat model with Monod-Haldane response function
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Authors
Zhongwei Cao
- Department of Applied Mathematics, Jilin University of Finance and Economics, Changchun 130117, P. R. China.
Liya Liu
- College of Science, China University of Petroleum, Qingdao 266580, Shandong Province, P. R. China.
Abstract
This paper deals with problem of a stochastic chemostat model with Monod-Haldane response function. Firstly, we confirm the truth of the existence and uniqueness of the positive solution to the system. Then, we show the condition for the microorganism to be extinct. Moreover, we investigate there is a stationary distribution of this stochastic system and finally, we derive the expression for its invariant density.
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ISRP Style
Zhongwei Cao, Liya Liu, The threshold of stochastic chemostat model with Monod-Haldane response function, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 8, 4364--4371
AMA Style
Cao Zhongwei, Liu Liya, The threshold of stochastic chemostat model with Monod-Haldane response function. J. Nonlinear Sci. Appl. (2017); 10(8):4364--4371
Chicago/Turabian Style
Cao, Zhongwei, Liu, Liya. "The threshold of stochastic chemostat model with Monod-Haldane response function." Journal of Nonlinear Sciences and Applications, 10, no. 8 (2017): 4364--4371
Keywords
- Stochastic chemostat model
- threshold
- extinction
- persistence
- stationary distribution.
MSC
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