Asymptotic stability of solutions for a diffusive epidemic model

• Autorzy: Bouaziz Khelifa , Douaifia Redouane , Abdelmalek Salem

Identyfikatory

DOI

10.1515/dema-2022-0150

• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to study the existence and the asymptotic stability of solutions for an epidemiologically emerging reaction-diffusion model. We show that the model has two types of equilibrium points to resolve the proposed system for a fairly broad class of nonlinearity that describes the transmission of an infectious disease between individuals. The model is analyzed by using the basic reproductive number R0 . Finally, we present the numerical examples simulations that clarifies and confirms the results of the study throughout the paper.

Słowa kluczowe

EN

equilibrium points; reaction-diffusion; reproduction number; local stability; global stability; global existence

PL

punkt równowagi; reakcja-dyfuzja; stabilność lokalna; globalna stabilność

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 553--573
• Opis fizyczny: Bibliogr. 35 poz., tab., wykr.

Twórcy

autor

Bouaziz Khelifa

• Department of Science and Technology, Larbi Tebessi University, Tebessa, Algeria

autor

Douaifia Redouane

• Laboratory of Mathematics, Informatics and Systems (LAMIS), Larbi Tebessi University, Tebessa, Algeria

autor

Abdelmalek Salem

• Department of Mathematics and Computer, Larbi Tebessi University, Tebessa, Algeria

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).