Analysis of a fractional SIR model with general incidence function
From MaRDI portal
Publication:2005969
DOI10.1016/j.aml.2020.106499zbMath1451.92294OpenAlexW3030736352MaRDI QIDQ2005969
Nemat Nyamoradi, Pegah Taghiei Karaji
Publication date: 8 October 2020
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2020.106499
stabilityfractional differential equationsbasic reproduction numberhepatitis Bfractional Barbalat's lemma
Epidemiology (92D30) Fractional derivatives and integrals (26A33) Global stability of solutions to ordinary differential equations (34D23)
Related Items
Stability analysis and optimal control of a fractional-order generalized SEIR model for the COVID-19 pandemic, A class of anomalous diffusion epidemic models based on CTRW and distributed delay, Bifurcation and stability of a delayed SIS epidemic model with saturated incidence and treatment rates in heterogeneous networks, Explicit formulae for the peak time of an epidemic from the SIR model. Which approximant to use?, Dynamical Analysis of a Caputo Fractional Order SIR Epidemic Model with a General Treatment Function, Dynamical analysis of a generalized hepatitis B epidemic model and its dynamically consistent discrete model, Analytical solution of the SIR-model for the temporal evolution of epidemics. Part A: time-independent reproduction factor
Cites Work
- Laplace transform and fractional differential equations
- Global existence theory and chaos control of fractional differential equations
- Stability analysis of a virus dynamics model with general incidence rate and two delays
- A generalization of the Kermack-McKendrick deterministic epidemic model
- Analysis of a fractional SEIR model with treatment
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Mathematical analysis of a virus dynamics model with general incidence rate and cure rate
- Stability of a fractional order SEIR model with general incidence
- Dynamics of fractional-order delay differential model for tumor-immune system
- Dynamics of a diffusive virus model with general incidence function, cell-to-cell transmission and time delay
- Modeling and control of the hepatitis B virus spreading using an epidemic model
- Modelling the epidemiology of hepatitis B in New Zealand
- Exponential ultimate boundedness of non-autonomous fractional differential systems with time delay and impulses
- The transmission dynamic of different hepatitis B-infected individuals with the effect of hospitalization
- Correction: FRACTIONAL ORDER BARBALAT’S LEMMA AND ITS APPLICATIONS IN THE STABILITY OF FRACTIONAL ORDER NONLINEAR SYSTEMS
- Global stability of an SEIS epidemic model with recruitment and a varying total population size
