Competitive Exclusion in a General Multi-species Chemostat Model with Stochastic Perturbations
Based on the fact that the continuous culture of microorganisms in a chemostat is subject to environmental noises, we present and analyze a stochastic competition chemostat model with general monotonic response functions and differential removal rates. The existence and boundedness of the unique pos...
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| Published in | Bulletin of mathematical biology Vol. 83; no. 1; p. 4 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Springer US
01.01.2021
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0092-8240 1522-9602 1522-9602 |
| DOI | 10.1007/s11538-020-00843-7 |
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| Abstract | Based on the fact that the continuous culture of microorganisms in a chemostat is subject to environmental noises, we present and analyze a stochastic competition chemostat model with general monotonic response functions and differential removal rates. The existence and boundedness of the unique positive solution are first obtained. By defining a stochastic break-even concentration for every species, we prove that at most one competitor survives in the chemostat and the winner has the smallest stochastic break-even concentration, provided its response function satisfies a technical assumption. That is to say, the competitive exclusion principle holds for the stochastic competition chemostat model. Furthermore, we find that the noise experienced by one species is adverse to its growth while may be favorable for the growth of other one species. Namely, the destinies can be exchanged between two microorganism species in the chemostat due to the environmental noise. |
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| AbstractList | Based on the fact that the continuous culture of microorganisms in a chemostat is subject to environmental noises, we present and analyze a stochastic competition chemostat model with general monotonic response functions and differential removal rates. The existence and boundedness of the unique positive solution are first obtained. By defining a stochastic break-even concentration for every species, we prove that at most one competitor survives in the chemostat and the winner has the smallest stochastic break-even concentration, provided its response function satisfies a technical assumption. That is to say, the competitive exclusion principle holds for the stochastic competition chemostat model. Furthermore, we find that the noise experienced by one species is adverse to its growth while may be favorable for the growth of other one species. Namely, the destinies can be exchanged between two microorganism species in the chemostat due to the environmental noise. Based on the fact that the continuous culture of microorganisms in a chemostat is subject to environmental noises, we present and analyze a stochastic competition chemostat model with general monotonic response functions and differential removal rates. The existence and boundedness of the unique positive solution are first obtained. By defining a stochastic break-even concentration for every species, we prove that at most one competitor survives in the chemostat and the winner has the smallest stochastic break-even concentration, provided its response function satisfies a technical assumption. That is to say, the competitive exclusion principle holds for the stochastic competition chemostat model. Furthermore, we find that the noise experienced by one species is adverse to its growth while may be favorable for the growth of other one species. Namely, the destinies can be exchanged between two microorganism species in the chemostat due to the environmental noise.Based on the fact that the continuous culture of microorganisms in a chemostat is subject to environmental noises, we present and analyze a stochastic competition chemostat model with general monotonic response functions and differential removal rates. The existence and boundedness of the unique positive solution are first obtained. By defining a stochastic break-even concentration for every species, we prove that at most one competitor survives in the chemostat and the winner has the smallest stochastic break-even concentration, provided its response function satisfies a technical assumption. That is to say, the competitive exclusion principle holds for the stochastic competition chemostat model. Furthermore, we find that the noise experienced by one species is adverse to its growth while may be favorable for the growth of other one species. Namely, the destinies can be exchanged between two microorganism species in the chemostat due to the environmental noise. |
| ArticleNumber | 4 |
| Author | Yuan, Sanling Zhang, Tonghua Xu, Chaoqun |
| Author_xml | – sequence: 1 givenname: Chaoqun surname: Xu fullname: Xu, Chaoqun organization: College of Science, University of Shanghai for Science and Technology, School of Mathematical Science, Jiangsu University – sequence: 2 givenname: Sanling orcidid: 0000-0002-0502-3653 surname: Yuan fullname: Yuan, Sanling email: sanling@usst.edu.cn organization: College of Science, University of Shanghai for Science and Technology – sequence: 3 givenname: Tonghua surname: Zhang fullname: Zhang, Tonghua organization: Department of Mathematics, Swinburne University of Technology |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/33387074$$D View this record in MEDLINE/PubMed |
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| Keywords | Noise-induced conversion of species’destinies General response function Stochastic chemostat model Stochastic break-even concentration Competitive exclusion principle |
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| Snippet | Based on the fact that the continuous culture of microorganisms in a chemostat is subject to environmental noises, we present and analyze a stochastic... |
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| SubjectTerms | Background noise Cell Biology Competition Continuous culture Life Sciences Mathematical and Computational Biology Mathematics Mathematics and Statistics Microorganisms Original Article Response functions Species |
| Title | Competitive Exclusion in a General Multi-species Chemostat Model with Stochastic Perturbations |
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