Abstract
The present paper deals with the problem of a chemostat model with Holling type II functional response by stochastic perturbation. The main objective of the work is to find out sufficient conditions which guarantee that the principle of competitive exclusion holds for this perturbed model. Numerical simulations for a hypothetical set of parameter values are presented to illustrate the analytical findings.
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The work was supported by Program for NSFC of China (No. 11371085) and the Fundamental Research Funds for the Central Universities (No. 15CX08011A).
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Zhang, Q., Jiang, D. Competitive exclusion in a stochastic chemostat model with Holling type II functional response. J Math Chem 54, 777–791 (2016). https://doi.org/10.1007/s10910-015-0589-0
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DOI: https://doi.org/10.1007/s10910-015-0589-0
Keywords
- Chemostat model
- Holling type II functional response
- Stochastic perturbation
- Competitive exclusion
- Extinction