About stability analysis in epidemic reaction-diffusion model

Rahma, Rechache; Racha, Guemmadi

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dc.contributor.author	Rahma, Rechache
dc.contributor.author	Racha, Guemmadi
dc.date.accessioned	2022-06-29T08:34:31Z
dc.date.available	2022-06-29T08:34:31Z
dc.date.issued	2022
dc.identifier.uri	http//localhost:8080/jspui/handle/123456789/4747
dc.description.abstract	The purpose of this thesis is to study the local and global asymptotic stability of the nonnegative constant steady states of an epidemic reaction-diffusion system (susceptible-infectious) with a nonlinear incidence in the case of ordinary and partial differential equations depending on the basic reproduction number, with determining the linearity of the studied system in both cases . Where the local asymptotic stability is determined by the nature of the eigenvalues, but for the global asymptotic stability we use the Lyapunov method, in addition to illustrate the analytical results through numerical examples	en_US
dc.description.sponsorship	Salem Abdelmalek	en_US
dc.language.iso	en	en_US
dc.publisher	Larbi Tebessi University - Tebessa	en_US
dc.subject	The reaction-diffusion system, nonlinear incidence, global and local asymptotic stability, equilibrium, basic reproduction number, Lyapunov function, linearization.	en_US
dc.subject	نموذج التفاعل والانتشار، حدوث غير خطي، الاستقرار المقارب الكلي والمحلي، التوازن، رقم الاستنساخ، دالة ليابونوف، التوسيع الخطي	en_US
dc.subject	Système de réaction-diffusion, incidence non linéaire, stabilité asymptotique globale et locale, équilibre, nombre de reproduction de base, fonction de Lyapunov, linéarisation.	en_US
dc.title	About stability analysis in epidemic reaction-diffusion model	en_US
dc.type	Thesis	en_US