Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/34441
Title: | Global stability of a diffusive SEIR epidemic model with distributed delay |
Author: | Alaoui, Abdesslem Lamrani Ammi, Moulay Rchid Sidi Tilioua, Mouhcine Torres, Delfim F. M. |
Keywords: | Diffusive epidemic model Distributed delay Generalized nonlinear incidence rate Lyapunov functionals Reaction-diffusion |
Issue Date: | 2022 |
Publisher: | Academic Press, Elsevier |
Abstract: | We study the global dynamics of a reaction-diffusion SEIR infection model with distributed delay and nonlinear incidence rate. The well-posedness of the proposed model is proved. By means of Lyapunov functionals, we show that the disease free equilibrium state is globally asymptotically stable when the basic reproduction number is less or equal than one, and that the disease endemic equilibrium is globally asymptotically stable when the basic reproduction number is greater than one. Numerical simulations are provided to illustrate the obtained theoretical results. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/34441 |
DOI: | 10.1016/B978-0-32-390504-6.00016-4 |
ISBN: | 978-0-323-90504-6 |
Appears in Collections: | CIDMA - Capítulo de livro DMat - Capítulo de livro SCG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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[504]reactiondiffusion.pdf | 351.63 kB | Adobe PDF |
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