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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| Main Authors: | , , , |
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| Format: | Article |
| Language: | zho |
| Published: |
Harbin University of Science and Technology Publications
2020-04-01
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| Series: | Journal of Harbin University of Science and Technology |
| Subjects: | |
| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1765 |
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| Summary: | 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. |
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| ISSN: | 1007-2683 |