Asymptotic stability of an epidemiological fractional reaction-diffusion model
From MaRDI portal
Publication:6102792
DOI10.1515/dema-2022-0224zbMath1518.35087OpenAlexW4380997541MaRDI QIDQ6102792
Samir Bendoukha, Lamia Djebara, Salem Abdelmalek
Publication date: 23 June 2023
Published in: Demonstratio Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/dema-2022-0224
asymptotic stabilityLyapunov functionalfractional calculusbasic reproduction numberfractional Lyapunov method
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Fractional partial differential equations (35R11) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- Unnamed Item
- Unnamed Item
- Global stability for an \textit{SEI} model of infectious disease with immigration
- Conditions for the local and global asymptotic stability of the time-fractional Degn-Harrison system
- Bifurcation analysis of an epidemic model with nonlinear incidence
- Global existence theory and chaos control of fractional differential equations
- Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
- Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
- Qualitative analyses of communicable disease models
- A generalization of the Kermack-McKendrick deterministic epidemic model
- Some probability densities and fundamental solutions of fractional evolution equations
- Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge
- The fractional Chua chaotic system: dynamics, synchronization, and application to secure communications
- Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- The fractional-order SIS epidemic model with variable population size
- Lyapunov functions for fractional-order systems in biology: methods and applications
- Global existence and asymptotic behavior of solutions for some coupled systems via a Lyapunov functional
- Generalized fractional derivatives and Laplace transform
- A fractional model for the dynamics of TB virus
- On the asymptotic stability of the time-fractional Lengyel-Epstein system
- Asymptotic stability conditions for autonomous time-fractional reaction-diffusion systems
- Volterra-type Lyapunov functions for fractional-order epidemic systems
- Lyapunov functions for fractional order systems
- Periodicity in an epidemic model with a generalized non-linear incidence
- Dynamical analysis of a fractional SIRS model on homogenous networks
- On the stability and nonexistence of turing patterns for the generalized Lengyel-Epstein model
- Stability Properties of Solutions to Systems of Reaction-Diffusion Equations
- Global stability analysis of a fractional SVEIR epidemic model
- Global dynamics for a class of reaction–diffusion multigroup SIR epidemic models with time fractional-order derivatives
- A CLASS OF LYAPUNOV FUNCTIONS AND THE GLOBAL STABILITY OF SOME EPIDEMIC MODELS WITH NONLINEAR INCIDENCE
- Models for transmission of disease with immigration of infectives
