Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/26475
Título: | Analysis of a SIRI epidemic model with distributed delay and relapse |
Autor: | Elazzouzi, Abdelhai Alaoui, Abdesslem Lamrani Tilioua, Mouhcine Torres, Delfim F. M. |
Palavras-chave: | Global stability Nonlinear incidence function Distributed delay Lyapunov functionals Relapse |
Data: | Set-2019 |
Editora: | IAPress |
Resumo: | We investigate the global behaviour of a SIRI epidemic model with distributed delay and relapse. From the theory of functional differential equations with delay, we prove that the solution of the system is unique, bounded, and positive, for all time. The basic reproduction number R0 for the model is computed. By means of the direct Lyapunov method and LaSalle invariance principle, we prove that the disease free equilibrium is globally asymptotically stable when R0 < 1. Moreover,we show that there is a unique endemic equilibrium, which is globally asymptotically stable, when R0 > 1. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/26475 |
DOI: | 10.19139/soic-2310-5070-831 |
ISSN: | 2311-004X |
Aparece nas coleções: | CIDMA - Artigos SCG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
[430]SIRI_epidemic_model-SOIC.pdf | 189.89 kB | Adobe PDF | Ver/Abrir |
Todos os registos no repositório estão protegidos por leis de copyright, com todos os direitos reservados.