Global stability for a discrete SIS epidemic model with immigration of infectives
In this paper, we propose a discrete-time SIS epidemic model which is derived from continuous-time SIS epidemic models with immigration of infectives by the backward Euler method. For the discretized model, by applying new Lyapunov function techniques, we establish the global asymptotic stability of...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Basque Center for Applied Mathematics (BCAM) |
| Repositorio: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/412 |
| Acceso en línea: | http://hdl.handle.net/20.500.11824/412 |
| Access Level: | acceso abierto |
| Palabra clave: | backward Euler method SIS epidemic model global asymptotic stability Lyapunov function |
| Sumario: | In this paper, we propose a discrete-time SIS epidemic model which is derived from continuous-time SIS epidemic models with immigration of infectives by the backward Euler method. For the discretized model, by applying new Lyapunov function techniques, we establish the global asymptotic stability of the disease-free equilibrium for R 0 ≤ 1 and the endemic equilibrium for R 0 > 1, where R 0 is the basic reproduction number of the continuous-time model. This is just a discrete analogue of a continuous SIS epidemic model with immigration of infectives. |
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