Competitive Coexistence in a Two-Strain Epidemic Model with a Periodic Infection Rate
In this article, we study the global dynamical behavior of a two-strain SIS model with a periodic infection rate. The positivity and boundedness of solutions are established, and the competitive exclusion conditions are given for the model. The conditions for the global stability of the disease-free...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/7541861 |
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| _version_ | 1832568153699254272 |
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| author | Chentong Li Yingying Zhang Yicang Zhou |
| author_facet | Chentong Li Yingying Zhang Yicang Zhou |
| author_sort | Chentong Li |
| collection | DOAJ |
| description | In this article, we study the global dynamical behavior of a two-strain SIS model with a periodic infection rate. The positivity and boundedness of solutions are established, and the competitive exclusion conditions are given for the model. The conditions for the global stability of the disease-free equilibrium and persistence of the model are obtained. The conditions of coexistence in this model are also found. Finally, the conditions of uniqueness of the solution are proved. |
| format | Article |
| id | doaj-art-8768a7f704cf479eb0dd41615cefab1b |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-8768a7f704cf479eb0dd41615cefab1b2025-02-03T00:59:42ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/75418617541861Competitive Coexistence in a Two-Strain Epidemic Model with a Periodic Infection RateChentong Li0Yingying Zhang1Yicang Zhou2School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaSchool of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaSchool of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaIn this article, we study the global dynamical behavior of a two-strain SIS model with a periodic infection rate. The positivity and boundedness of solutions are established, and the competitive exclusion conditions are given for the model. The conditions for the global stability of the disease-free equilibrium and persistence of the model are obtained. The conditions of coexistence in this model are also found. Finally, the conditions of uniqueness of the solution are proved.http://dx.doi.org/10.1155/2020/7541861 |
| spellingShingle | Chentong Li Yingying Zhang Yicang Zhou Competitive Coexistence in a Two-Strain Epidemic Model with a Periodic Infection Rate Discrete Dynamics in Nature and Society |
| title | Competitive Coexistence in a Two-Strain Epidemic Model with a Periodic Infection Rate |
| title_full | Competitive Coexistence in a Two-Strain Epidemic Model with a Periodic Infection Rate |
| title_fullStr | Competitive Coexistence in a Two-Strain Epidemic Model with a Periodic Infection Rate |
| title_full_unstemmed | Competitive Coexistence in a Two-Strain Epidemic Model with a Periodic Infection Rate |
| title_short | Competitive Coexistence in a Two-Strain Epidemic Model with a Periodic Infection Rate |
| title_sort | competitive coexistence in a two strain epidemic model with a periodic infection rate |
| url | http://dx.doi.org/10.1155/2020/7541861 |
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