Dynamical Analysis of a Caputo Fractional Order SIR Epidemic Model with a General Treatment Function
From MaRDI portal
Publication:5861714
DOI10.1007/978-981-16-2450-6_2zbMath1484.92089OpenAlexW3204396105MaRDI QIDQ5861714
Moulay Rchid Sidi Ammi, A. Lamrani Alaoui, Praveen Agarwal, Mouhcine Tilioua
Publication date: 2 March 2022
Published in: Infosys Science Foundation Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-981-16-2450-6_2
Epidemiology (92D30) Fractional derivatives and integrals (26A33) Global stability of solutions to ordinary differential equations (34D23)
Cites Work
- Unnamed Item
- Unnamed Item
- Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission
- Analysis of the permanence of an SIR epidemic model with logistic process and distributed time delay
- Dynamics of an epidemic model with quadratic treatment
- Delay differential equations: with applications in population dynamics
- Stability by Liapunov's direct method. With applications
- Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
- Generalized Taylor's formula
- Global existence theory and chaos control of fractional differential equations
- The effect of vaccines on backward bifurcation in a fractional order HIV model
- Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
- On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems
- Mittag-Leffler stability of fractional order nonlinear dynamic systems
- A fractional-order differential equation model of HIV infection of \(CD4^{+}\) T-cells
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Global asymptotic properties of a delay SIR epidemic model with finite incubation times
- Stability analysis of a fractional-order epidemics model with multiple equilibriums
- Dynamics of a fractional order HIV infection model with specific functional response and cure rate
- Stability and bifurcation analysis of an SIR epidemic model with logistic growth and saturated treatment
- Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge
- A Lyapunov function and global properties for \(SIR\) and \(SEIR\) epidemiological models with nonlinear incidence
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Global asymptotic stability of an \(SIR\) epidemic model with distributed time delay.
- Global stability of SIRS epidemic models with a class of nonlinear incidence rates and distributed delays
- Analysis of a fractional SIR model with general incidence function
- A mathematical model of COVID-19 using fractional derivative: outbreak in India with dynamics of transmission and control
- Analysis of Caputo fractional-order model for COVID-19 with lockdown
- On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative
- A mathematical model for COVID-19 transmission by using the Caputo fractional derivative
- Global stability analysis for a generalized delayed SIR model with vaccination and treatment
- Stability of nonlinear Caputo fractional differential equations
- Volterra-type Lyapunov functions for fractional-order epidemic systems
- Lyapunov functions for fractional order systems
- Numerical methods for nonlinear partial differential equations of fractional order
- Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates
- Effect of pollution on dynamics of SIR model with treatment
- Stability of a Time Delayed SIR Epidemic Model Along with Nonlinear Incidence Rate and Holling Type-II Treatment Rate
- Dynamic analysis of a fractional-order single-species model with diffusion
This page was built for publication: Dynamical Analysis of a Caputo Fractional Order SIR Epidemic Model with a General Treatment Function