SIR epidemic model with Mittag-Leffler fractional derivative
From MaRDI portal
Publication:2120694
DOI10.1016/j.chaos.2020.109833zbMath1489.92176OpenAlexW3019775607MaRDI QIDQ2120694
Publication date: 1 April 2022
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2020.109833
Epidemiology (92D30) Dynamical systems in biology (37N25) Fractional ordinary differential equations (34A08)
Related Items (20)
A FRACTIONAL SARS-COV-2 MODEL WITH ATANGANA–BALEANU DERIVATIVE: APPLICATION TO FOURTH WAVE ⋮ A fractional order hepatitis C mathematical model with Mittag-Leffler kernel ⋮ Forecasting of COVID-19 pandemic: from integer derivatives to fractional derivatives ⋮ DYNAMICS OF COOPERATIVE REACTIONS BASED ON CHEMICAL KINETICS WITH REACTION SPEED: A COMPARATIVE ANALYSIS WITH SINGULAR AND NONSINGULAR KERNELS ⋮ Fractal-fractional order dynamics and numerical simulations of a Zika epidemic model with insecticide-treated nets ⋮ Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate ⋮ Complex mathematical SIR model for spreading of COVID-19 virus with Mittag-Leffler kernel ⋮ A fractional-order model to study the dynamics of the spread of crime ⋮ ANALYSIS AND NUMERICAL SIMULATION OF FRACTIONAL BIOLOGICAL POPULATION MODEL WITH SINGULAR AND NON-SINGULAR KERNELS ⋮ Novel class of susceptible-infectious-recovered models involving power-law interactions ⋮ Novel approaches for getting the solution of the fractional Black-Scholes equation described by Mittag-Leffler fractional derivative ⋮ The global stability and optimal control of the COVID-19 epidemic model ⋮ A class of fractional differential equations via power non-local and non-singular kernels: existence, uniqueness and numerical approximations ⋮ On class of fractional-order chaotic or hyperchaotic systems in the context of the Caputo fractional-order derivative ⋮ Analysis of Novel Corona Virus (COVID-19) Pandemic with Fractional-Order Caputo–Fabrizio Operator and Impact of Vaccination ⋮ Explicit formulae for the peak time of an epidemic from the SIR model. Which approximant to use? ⋮ Analytical solution of the SIR-model for the temporal evolution of epidemics. Part A: time-independent reproduction factor ⋮ Mean-square exponential stability of impulsive conformable fractional stochastic differential system with application on epidemic model ⋮ Boundary state and output feedbacks for underactuated systems of coupled time-fractional PDEs with different space-dependent diffusivity ⋮ Using Gauss-Jacobi quadrature rule to improve the accuracy of FEM for spatial fractional problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The effect of anti-viral drug treatment of human immunodeficiency virus type 1 (HIV-1) described by a fractional order model
- A fractional-order infectivity SIR model
- Stability analysis of a fractional-order epidemics model with multiple equilibriums
- A fractional order SIR epidemic model with nonlinear incidence rate
- Second-grade fluid model with Caputo-Liouville generalized fractional derivative
- Trinition the complex number with two imaginary parts: fractal, chaos and fractional calculus
- A complex valued approach to the solutions of Riemann-Liouville integral, Atangana-Baleanu integral operator and non-linear telegraph equation via fixed point method
- Fractional modified Kawahara equation with Mittag-Leffler law
- An efficient computational scheme for nonlinear time fractional systems of partial differential equations arising in physical sciences
- Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
- New aspects of time fractional optimal control problems within operators with nonsingular kernel
- Stokes' first problem for heated flat plate with Atangana-Baleanu fractional derivative
- Lyapunov functions for fractional order systems
- Numerical analysis and pattern formation process for space-fractional superdiffusive systems
- Long-time dynamics of an SIRS reaction-diffusion epidemic model
- On the analysis of vibration equation involving a fractional derivative with Mittag‐Leffler law
- Dynamic Analysis of a Delayed Fractional-Order SIR Model with Saturated Incidence and Treatment Functions
- On the formulation of Adams-Bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems
- On the generalized fractional derivatives and their Caputo modification
- A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator
- Characterizations of two different fractional operators without singular kernel
- A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence
This page was built for publication: SIR epidemic model with Mittag-Leffler fractional derivative
