Asymptotic stability of an epidemiological fractional reaction-diffusion model
Abstract: The aim of this article is to study the known susceptible-infectious (SI) epidemic model using fractional order reaction-diffusion fractional partial differential equations [FPDEs] in order to better describe the dynamics of a reaction-diffusion SI with a nonlinear incidence rate describing the infection dynamics of the HIV/AIDS virus. We initially examined the nonnegativity, global existence, and boundedness for solutions of the proposed system. After determining that the proposed model has two steady states, we derived sufficient conditions for the global and local asymptotic stability of the equilibrium of the proposed system and their relationship to basic reproduction in the case of fractional ordinary differential equations and FPDEs by analyzing the eigenvalues and using the appropriately chosen Lyapunov function. Finally, we used numerical examples to illustrate our theoretical results.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
Asymptotic stability of an epidemiological fractional reaction-diffusion model ; volume:56 ; number:1 ; year:2023 ; extent:27
Demonstratio mathematica ; 56, Heft 1 (2023) (gesamt 27)
- Urheber
-
Djebara, Lamia
Abdelmalek, Salem
Bendoukha, Samir
- DOI
-
10.1515/dema-2022-0224
- URN
-
urn:nbn:de:101:1-2023061514080910933779
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
14.08.2025, 10:48 MESZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Djebara, Lamia
- Abdelmalek, Salem
- Bendoukha, Samir
Ähnliche Objekte (12)
Asymptotic behavior for the semilinear reaction–diffusion equations with memory
Asymptotic Scaling in a Model Class of Anomalous Reaction-Diffusion Equations
Discrete monotone method for space-fractional nonlinear reaction–diffusion equations
Critical parameters for reaction–diffusion equations involving space–time fractional derivatives
An analytic algorithm for the space-time fractional reaction-diffusion equation
Dynamical properties of a fractional reaction-diffusion trimolecular biochemical model with autocatalysis
A new Sumudu transform iterative method for time-fractional Cauchy reaction–diffusion equation
Long-term dynamics of fractional stochastic delay reaction–diffusion equations on unbounded domains
Stability of Fractional Reaction-Diffusion Memristive Neural Networks Via Event-Based Hybrid Impulsive Controller
A modified analytical approach with existence and uniqueness for fractional Cauchy reaction–diffusion equations
Dynamics of the time-fractional reaction–diffusion coupled equations in biological and chemical processes
Shock waves and reaction-diffusion equations
Asymptotic behavior for the semilinear reaction–diffusion equations with memory
Asymptotic Scaling in a Model Class of Anomalous Reaction-Diffusion Equations
Discrete monotone method for space-fractional nonlinear reaction–diffusion equations
Critical parameters for reaction–diffusion equations involving space–time fractional derivatives
An analytic algorithm for the space-time fractional reaction-diffusion equation
Dynamical properties of a fractional reaction-diffusion trimolecular biochemical model with autocatalysis
A new Sumudu transform iterative method for time-fractional Cauchy reaction–diffusion equation
Long-term dynamics of fractional stochastic delay reaction–diffusion equations on unbounded domains
Stability of Fractional Reaction-Diffusion Memristive Neural Networks Via Event-Based Hybrid Impulsive Controller
A modified analytical approach with existence and uniqueness for fractional Cauchy reaction–diffusion equations
Dynamics of the time-fractional reaction–diffusion coupled equations in biological and chemical processes
Shock waves and reaction-diffusion equations
Asymptotic behavior for the semilinear reaction–diffusion equations with memory
Asymptotic Scaling in a Model Class of Anomalous Reaction-Diffusion Equations
Discrete monotone method for space-fractional nonlinear reaction–diffusion equations
Critical parameters for reaction–diffusion equations involving space–time fractional derivatives
An analytic algorithm for the space-time fractional reaction-diffusion equation
Dynamical properties of a fractional reaction-diffusion trimolecular biochemical model with autocatalysis
A new Sumudu transform iterative method for time-fractional Cauchy reaction–diffusion equation
Long-term dynamics of fractional stochastic delay reaction–diffusion equations on unbounded domains
Stability of Fractional Reaction-Diffusion Memristive Neural Networks Via Event-Based Hybrid Impulsive Controller
A modified analytical approach with existence and uniqueness for fractional Cauchy reaction–diffusion equations
Dynamics of the time-fractional reaction–diffusion coupled equations in biological and chemical processes