Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate
In this paper, we investigate a disease transmission model of SIRS type with latent period τ≥0 and the specific nonmonotone incidence rate, namely, For the basic reproduction number R0>1, applying monotone iterative techniques, we establish sufficient conditions for the global asymptotic stab...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Basque Center for Applied Mathematics (BCAM) |
| Repositorio: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/445 |
| Acceso en línea: | http://hdl.handle.net/20.500.11824/445 |
| Access Level: | acceso abierto |
| Palabra clave: | Global asymptotic stability Lyapunov functional technique Monotone iterative technique Nonlinear incidence rate Permanence SIRS epidemic model |
| Sumario: | In this paper, we investigate a disease transmission model of SIRS type with latent period τ≥0 and the specific nonmonotone incidence rate, namely, For the basic reproduction number R0>1, applying monotone iterative techniques, we establish sufficient conditions for the global asymptotic stability of endemic equilibrium of system which become partial answers to the open problem in [Hai-Feng Huo, Zhan-Ping Ma, Dynamics of a delayed epidemic model with non-monotonic incidence rate, Commun. Nonlinear Sci. Numer. Simul. 15 (2010) 459-468]. Moreover, combining both monotone iterative techniques and the Lyapunov functional techniques to an SIR model by perturbation, we derive another type of sufficient conditions for the global asymptotic stability of the endemic equilibrium. |
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