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dc.contributor.authorRahma, Rechache-
dc.contributor.authorRacha, Guemmadi-
dc.description.abstractThe 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 examplesen_US
dc.description.sponsorshipSalem Abdelmaleken_US
dc.publisherLarbi Tebessi University - Tebessaen_US
dc.subjectThe reaction-diffusion system, nonlinear incidence, global and local asymptotic stability, equilibrium, basic reproduction number, Lyapunov function, linearization.en_US
dc.subjectنموذج التفاعل والانتشار، حدوث غير خطي، الاستقرار المقارب الكلي والمحلي، التوازن، رقم الاستنساخ، دالة ليابونوف، التوسيع الخطيen_US
dc.subjectSystème de réaction-diffusion, incidence non linéaire, stabilité asymptotique globale et locale, équilibre, nombre de reproduction de base, fonction de Lyapunov, linéarisation.en_US
dc.titleAbout stability analysis in epidemic reaction-diffusion modelen_US
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