Epidemic Dynamics of a Fractional-Order SIS Infectious Network Model
Outbreak and large-scale of the infectious diseases have caused enormous economic losses to all countries in the world. Constructing a network model which could reflect the transmission dynamics of the epidemics and investigating their transmission laws have a significant meaning in the precaution a...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/5518436 |
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| _version_ | 1832556515424206848 |
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| author | Na Liu Yunliu Li Junwei Sun Jie Fang Peng Liu |
| author_facet | Na Liu Yunliu Li Junwei Sun Jie Fang Peng Liu |
| author_sort | Na Liu |
| collection | DOAJ |
| description | Outbreak and large-scale of the infectious diseases have caused enormous economic losses to all countries in the world. Constructing a network model which could reflect the transmission dynamics of the epidemics and investigating their transmission laws have a significant meaning in the precaution and control of the epidemics. In this article, a fractional-order SIS epidemic network model is proposed. First, an expression of the basic reproduction number is deduced. Second, applying the Lyapunov function, the stability of the equilibrium points about the infectious model is analyzed in detail. Finally, an example is present to verify the theoretical analysis. Furthermore, on account of the fractional-order coefficient, its influence on the transmission dynamics is also exhibited. |
| format | Article |
| id | doaj-art-15b6515a988847b0a39ca305a4d503cc |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-15b6515a988847b0a39ca305a4d503cc2025-02-03T05:45:11ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/55184365518436Epidemic Dynamics of a Fractional-Order SIS Infectious Network ModelNa Liu0Yunliu Li1Junwei Sun2Jie Fang3Peng Liu4College of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, ChinaCollege of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, ChinaCollege of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, ChinaCollege of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, ChinaCollege of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, ChinaOutbreak and large-scale of the infectious diseases have caused enormous economic losses to all countries in the world. Constructing a network model which could reflect the transmission dynamics of the epidemics and investigating their transmission laws have a significant meaning in the precaution and control of the epidemics. In this article, a fractional-order SIS epidemic network model is proposed. First, an expression of the basic reproduction number is deduced. Second, applying the Lyapunov function, the stability of the equilibrium points about the infectious model is analyzed in detail. Finally, an example is present to verify the theoretical analysis. Furthermore, on account of the fractional-order coefficient, its influence on the transmission dynamics is also exhibited.http://dx.doi.org/10.1155/2021/5518436 |
| spellingShingle | Na Liu Yunliu Li Junwei Sun Jie Fang Peng Liu Epidemic Dynamics of a Fractional-Order SIS Infectious Network Model Discrete Dynamics in Nature and Society |
| title | Epidemic Dynamics of a Fractional-Order SIS Infectious Network Model |
| title_full | Epidemic Dynamics of a Fractional-Order SIS Infectious Network Model |
| title_fullStr | Epidemic Dynamics of a Fractional-Order SIS Infectious Network Model |
| title_full_unstemmed | Epidemic Dynamics of a Fractional-Order SIS Infectious Network Model |
| title_short | Epidemic Dynamics of a Fractional-Order SIS Infectious Network Model |
| title_sort | epidemic dynamics of a fractional order sis infectious network model |
| url | http://dx.doi.org/10.1155/2021/5518436 |
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