Delay SIR model with nonlinear incident rate and varying total population
Recently, models describing the behavior of SIR epidemic with nonlinear incident rate have been revisited. We study the behavior of the model with time delay in which the total population size varies. Lyapunov functions are constructed to establish the global asymptotic stability of all steady state...
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th-cmuir.6653943832-475142018-04-25T08:40:55Z Delay SIR model with nonlinear incident rate and varying total population Rujira Ouncharoen Salinthip Daengkongkho Thongchai Dumrongpokaphan Yongwimon Lenbury Recently, models describing the behavior of SIR epidemic with nonlinear incident rate have been revisited. We study the behavior of the model with time delay in which the total population size varies. Lyapunov functions are constructed to establish the global asymptotic stability of all steady states of the model. Numerical simulations are shown to confirm the main results. 2018-04-25T08:40:55Z 2018-04-25T08:40:55Z 2013-11-04 Journal 19980159 2-s2.0-84886684154 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84886684154&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47514 |
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| description |
Recently, models describing the behavior of SIR epidemic with nonlinear incident rate have been revisited. We study the behavior of the model with time delay in which the total population size varies. Lyapunov functions are constructed to establish the global asymptotic stability of all steady states of the model. Numerical simulations are shown to confirm the main results. |
| format |
Journal |
| author |
Rujira Ouncharoen Salinthip Daengkongkho Thongchai Dumrongpokaphan Yongwimon Lenbury |
| spellingShingle |
Rujira Ouncharoen Salinthip Daengkongkho Thongchai Dumrongpokaphan Yongwimon Lenbury Delay SIR model with nonlinear incident rate and varying total population |
| author_facet |
Rujira Ouncharoen Salinthip Daengkongkho Thongchai Dumrongpokaphan Yongwimon Lenbury |
| author_sort |
Rujira Ouncharoen |
| title |
Delay SIR model with nonlinear incident rate and varying total population |
| title_short |
Delay SIR model with nonlinear incident rate and varying total population |
| title_full |
Delay SIR model with nonlinear incident rate and varying total population |
| title_fullStr |
Delay SIR model with nonlinear incident rate and varying total population |
| title_full_unstemmed |
Delay SIR model with nonlinear incident rate and varying total population |
| title_sort |
delay sir model with nonlinear incident rate and varying total population |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84886684154&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47514 |
| _version_ |
1681423075226157056 |