A bacteriophage model based on CRISPR/Cas immune system in a chemostat
Clustered regularly interspaced short palindromic repeats (CRISPRs) along with Cas proteins are a widespread immune system across bacteria and archaea. In this paper, a mathematical model in a chemostat is proposed to investigate the effect of CRISPR/Cas on the bacteriophage dynamics. It is shown t...
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| Format: | Article |
| Language: | English |
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AIMS Press
2017-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2017070 |
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| author | Mengshi Shu Rui Fu Wendi Wang |
| author_facet | Mengshi Shu Rui Fu Wendi Wang |
| author_sort | Mengshi Shu |
| collection | DOAJ |
| description | Clustered regularly interspaced short palindromic repeats (CRISPRs) along with Cas proteins are a widespread immune system across bacteria and archaea. In this paper, a mathematical model in a chemostat is proposed to investigate the effect of CRISPR/Cas on the bacteriophage dynamics. It is shown that the introduction of CRISPR/Cas can induce a backward bifurcation and transcritical bifurcation. Numerical simulations reveal the coexistence of a stable infection-free equilibrium with an infection equilibrium, or a stable infection-free equilibrium with a stable periodic solution. |
| format | Article |
| id | doaj-art-4ad6314a351e4ac582f1ec13fa772dec |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2017-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-4ad6314a351e4ac582f1ec13fa772dec2025-01-24T02:40:31ZengAIMS PressMathematical Biosciences and Engineering1551-00182017-09-01145&61361137710.3934/mbe.2017070A bacteriophage model based on CRISPR/Cas immune system in a chemostatMengshi Shu0Rui Fu1Wendi Wang2Key Laboratory of Eco-environments in Three Gorges Reservoir Region, School of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaKey Laboratory of Eco-environments in Three Gorges Reservoir Region, School of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaKey Laboratory of Eco-environments in Three Gorges Reservoir Region, School of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaClustered regularly interspaced short palindromic repeats (CRISPRs) along with Cas proteins are a widespread immune system across bacteria and archaea. In this paper, a mathematical model in a chemostat is proposed to investigate the effect of CRISPR/Cas on the bacteriophage dynamics. It is shown that the introduction of CRISPR/Cas can induce a backward bifurcation and transcritical bifurcation. Numerical simulations reveal the coexistence of a stable infection-free equilibrium with an infection equilibrium, or a stable infection-free equilibrium with a stable periodic solution.https://www.aimspress.com/article/doi/10.3934/mbe.2017070bacteriophagebifurcationbistabilitybackwardevolution |
| spellingShingle | Mengshi Shu Rui Fu Wendi Wang A bacteriophage model based on CRISPR/Cas immune system in a chemostat Mathematical Biosciences and Engineering bacteriophage bifurcation bistability backward evolution |
| title | A bacteriophage model based on CRISPR/Cas immune system in a chemostat |
| title_full | A bacteriophage model based on CRISPR/Cas immune system in a chemostat |
| title_fullStr | A bacteriophage model based on CRISPR/Cas immune system in a chemostat |
| title_full_unstemmed | A bacteriophage model based on CRISPR/Cas immune system in a chemostat |
| title_short | A bacteriophage model based on CRISPR/Cas immune system in a chemostat |
| title_sort | bacteriophage model based on crispr cas immune system in a chemostat |
| topic | bacteriophage bifurcation bistability backward evolution |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2017070 |
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