Stability Analysis of a Class of SIR Epidemic Model with Delayed Spontaneous Variation of Virus
This paper considers the influence of virus spontaneous variation on the epidemic of infectious diseases, it establishes a delayed SIR epidemic model with spontaneous virus mutation, and gives a diseasefree equilibrium point, the existence and local stability of the endemic equilibrium point and end...
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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2020-04-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1765 |
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| _version_ | 1849404717939032064 |
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| author | LI Dong mei FU Yu li GAO Tian qi LI Chen chen |
| author_facet | LI Dong mei FU Yu li GAO Tian qi LI Chen chen |
| author_sort | LI Dong mei |
| collection | DOAJ |
| description | This paper considers the influence of virus spontaneous variation on the epidemic of infectious diseases, it establishes a delayed SIR epidemic model with spontaneous virus mutation, and gives a diseasefree equilibrium point, the existence and local stability of the endemic equilibrium point and endemic equilibrium point of a single plant. By constructing the Liapunov function, we proves the global asymptotic stability of the diseasefree equilibrium, the endemic equilibrium point of a single plant and the endemic equilibrium. By means of numerical simulation, the influence of virus spontaneous variation on disease transmission is analyzed. |
| format | Article |
| id | doaj-art-9354f608bc454b1e81aaa4dc44968633 |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2020-04-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-9354f608bc454b1e81aaa4dc449686332025-08-20T03:36:54ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832020-04-01250216617210.15938/j.jhust.2020.02.022Stability Analysis of a Class of SIR Epidemic Model with Delayed Spontaneous Variation of VirusLI Dong mei0FU Yu li1GAO Tian qi2LI Chen chen3School of Sciences, Harbin University of Science Technology, Harbin 150080, ChinaSchool of Sciences, Harbin University of Science Technology, Harbin 150080, ChinaSchool of Sciences, Harbin University of Science Technology, Harbin 150080, ChinaSchool of Sciences, Harbin University of Science Technology, Harbin 150080, ChinaThis paper considers the influence of virus spontaneous variation on the epidemic of infectious diseases, it establishes a delayed SIR epidemic model with spontaneous virus mutation, and gives a diseasefree equilibrium point, the existence and local stability of the endemic equilibrium point and endemic equilibrium point of a single plant. By constructing the Liapunov function, we proves the global asymptotic stability of the diseasefree equilibrium, the endemic equilibrium point of a single plant and the endemic equilibrium. By means of numerical simulation, the influence of virus spontaneous variation on disease transmission is analyzed.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1765spontaneous mutation of virusequilibrium pointstability |
| spellingShingle | LI Dong mei FU Yu li GAO Tian qi LI Chen chen Stability Analysis of a Class of SIR Epidemic Model with Delayed Spontaneous Variation of Virus Journal of Harbin University of Science and Technology spontaneous mutation of virus equilibrium point stability |
| title | Stability Analysis of a Class of SIR Epidemic Model with Delayed Spontaneous Variation of Virus |
| title_full | Stability Analysis of a Class of SIR Epidemic Model with Delayed Spontaneous Variation of Virus |
| title_fullStr | Stability Analysis of a Class of SIR Epidemic Model with Delayed Spontaneous Variation of Virus |
| title_full_unstemmed | Stability Analysis of a Class of SIR Epidemic Model with Delayed Spontaneous Variation of Virus |
| title_short | Stability Analysis of a Class of SIR Epidemic Model with Delayed Spontaneous Variation of Virus |
| title_sort | stability analysis of a class of sir epidemic model with delayed spontaneous variation of virus |
| topic | spontaneous mutation of virus equilibrium point stability |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1765 |
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