Stability analysis of epidemic model with varrying total population size and constant immigration rate
In this paper we study an SIR epidemic model with varying total population size and constant immigration rate. We investigate stability properties of the equilibrium points of this model and provide sufficient conditions under which the equilibrium points are locally stable or globally stable. If th...
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th-cmuir.6653943832-454672018-01-24T06:10:52Z Stability analysis of epidemic model with varrying total population size and constant immigration rate Thongchai Dumrongpokaphan Tunwa Kaewkheaw Rujira Ouncharoen In this paper we study an SIR epidemic model with varying total population size and constant immigration rate. We investigate stability properties of the equilibrium points of this model and provide sufficient conditions under which the equilibrium points are locally stable or globally stable. If the disease-free equilibrium point is stable, then the population survives. On the other hand, if the endemic equilibrium point is stable, the number of infective will not change which means the infected rate equals the recovery rate. Thus, we may predict the disease's dynamic behavior and the prevention program can be efficiently instituted. 2018-01-24T06:10:52Z 2018-01-24T06:10:52Z 2014-01-01 Journal 01252526 2-s2.0-84899646590 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84899646590&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/45467 |
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In this paper we study an SIR epidemic model with varying total population size and constant immigration rate. We investigate stability properties of the equilibrium points of this model and provide sufficient conditions under which the equilibrium points are locally stable or globally stable. If the disease-free equilibrium point is stable, then the population survives. On the other hand, if the endemic equilibrium point is stable, the number of infective will not change which means the infected rate equals the recovery rate. Thus, we may predict the disease's dynamic behavior and the prevention program can be efficiently instituted. |
| format |
Journal |
| author |
Thongchai Dumrongpokaphan Tunwa Kaewkheaw Rujira Ouncharoen |
| spellingShingle |
Thongchai Dumrongpokaphan Tunwa Kaewkheaw Rujira Ouncharoen Stability analysis of epidemic model with varrying total population size and constant immigration rate |
| author_facet |
Thongchai Dumrongpokaphan Tunwa Kaewkheaw Rujira Ouncharoen |
| author_sort |
Thongchai Dumrongpokaphan |
| title |
Stability analysis of epidemic model with varrying total population size and constant immigration rate |
| title_short |
Stability analysis of epidemic model with varrying total population size and constant immigration rate |
| title_full |
Stability analysis of epidemic model with varrying total population size and constant immigration rate |
| title_fullStr |
Stability analysis of epidemic model with varrying total population size and constant immigration rate |
| title_full_unstemmed |
Stability analysis of epidemic model with varrying total population size and constant immigration rate |
| title_sort |
stability analysis of epidemic model with varrying total population size and constant immigration rate |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84899646590&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/45467 |
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