Monotone iterative techniques to SIRS epidemic models with nonlinear incidence rates and distributed delays
In this paper, for SIRS epidemic models with a class of nonlinear incidence rates and distributed delays of the forms βS(t)∫0hk(τ)G(I(t-τ) )dτ, we establish the global asymptotic stability of the disease-free equilibrium E0 for R0<1, and applying new monotone techniques, we obtain sufficient...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2011 |
| País: | España |
| Recursos: | Basque Center for Applied Mathematics (BCAM) |
| Repositorio: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/439 |
| Acesso em linha: | http://hdl.handle.net/20.500.11824/439 |
| Access Level: | acceso abierto |
| Palavra-chave: | Distributed delays Global asymptotic stability Nonlinear incidence SIRS epidemic model |
| Resumo: | In this paper, for SIRS epidemic models with a class of nonlinear incidence rates and distributed delays of the forms βS(t)∫0hk(τ)G(I(t-τ) )dτ, we establish the global asymptotic stability of the disease-free equilibrium E0 for R0<1, and applying new monotone techniques, we obtain sufficient conditions which ensure the global asymptotic stability of the endemic equilibrium of the system. The obtained results improve those in Xu and Ma (2009) [Stability of a delayed SIRS epidemic model with a nonlinear incidence rate, Chaos Solitons Fractals 41 (2009) 23192325], and are very useful for a large class of SIRS models. |
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