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On the Lyapunov Analyses of MERS-Cov Transmission in Thailand |
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| รหัสดีโอไอ | |
| Creator | Puntani Pongsumpun |
| Title | On the Lyapunov Analyses of MERS-Cov Transmission in Thailand |
| Contributor | Jiraporn Lamwong, I-Ming Tang and Napasool Wongvanich |
| Publisher | King Mongkut's Institute of Technology Ladkrabang |
| Publication Year | 2562 |
| Journal Title | Current Applied Science and Technology |
| Journal Vol. | 19 |
| Journal No. | 2 |
| Page no. | 112-122 |
| Keyword | Global dynamical modeling method, Lyapunov function method, Basic reproductive number, next generation method, MERS, disease-free equilibrium state, endemic equilibrium state |
| URL Website | https://www.tci-thaijo.org/index.php/cast |
| Website title | https://www.tci-thaijo.org/index.php |
| ISSN | 2586-9396 |
| Abstract | This work investigates the transmission model of MERS-Cov using a deterministic model which divides the total human population into four subclasses: susceptible, exposed, infected and recovered. Two equilibrium points were exhibited: the disease-free equilibrium and the endemic equilibrium . The basic reproduction number was computed via the next generation method. Two types of global stability of these equilibrium points were investigated through the theory of Lyapunov. Specifically, the exponential stability was investigated using a square type Lyapunov candidate function; while the asymptotic stability was investigated through a Logarithm type Lyapunov candidate function. It is theoretically shown that, when the reproductive number is less than unity, the disease-free equilibrium state is globally asymptotically stable, and the endemic equilibrium state is globally asymptotically stable if the reproductive number is greater than unity. |
