Numerical treatment for solving fractional SIRC model and influenza A

DOI10.1007/s40314-013-0079-6zbMath1328.92077OpenAlexW2046817377MaRDI QIDQ2514070

Mohammed M. Babatin, Mohamed M. Khader

Publication date: 30 January 2015

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-013-0079-6

zbMATH Keywords

convergence analysisfinite difference methodfourth-order Runge-Kutta methodCaputo fractional derivativeChebyshev approximationfractional SIRC model

Mathematics Subject Classification ID

Epidemiology (92D30) Fractional ordinary differential equations (34A08)

Related Items (13)

An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus ⋮ Unnamed Item ⋮ Numerical technique based on the interpolation with Lagrange polynomials to analyze the fractional variable-order mathematical model of the hepatitis C with different types of virus genome ⋮ Fractional-order mathematical model for calcium distribution in nerve cells ⋮ Introducing the windowed Fourier frames technique for obtaining the approximate solution of the coupled system of differential equations ⋮ A new numerical Bernoulli polynomial method for solving fractional optimal control problems with vector components ⋮ Learning parameters of a system of variable order fractional differential equations ⋮ Evaluating the impacts of thermal conductivity on Casson fluid flow near a slippery sheet: numerical simulation using sixth-kind Chebyshev polynomials ⋮ Mittag–Leffler collocation optimization method for studying a physical problem in fluid flow with fractional derivatives ⋮ A numerical study by using the Chebyshev collocation method for a problem of biological invasion: Fractional Fisher equation ⋮ Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods ⋮ Numerical studies of the fractional Korteweg-de Vries, Korteweg-de Vries-Burgers' and Burgers' equations ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical treatment for solving the perturbed fractional PDEs using hybrid techniques
• A computational matrix method for solving systems of high order fractional differential equations
• Numerical treatment for solving fractional Riccati differential equation
• The fractional SIRC model and influenza A
• Numerical solution of two-sided space-fractional wave equation using finite difference method
• Analyzing the dynamics of an SIRS vaccination model with waning natural and vaccine-induced immunity
• Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations
• On the numerical solutions for the fractional diffusion equation
• A method for numerical integration on an automatic computer
• Nonstandard numerical methods for a mathematical model for influenza disease
• Chebyshev finite difference approximation for the boundary value problems
• Numerical studies for fractional-order logistic differential equation with two different delays
• Global dynamics of a nonautonomous SIRC model for influenza A with distributed time delay
• Flow and heat transfer of a micropolar fluid in an axisymmetric stagnation flow on a cylinder with variable properties and suction (numerical study)
• The SIRC model and influenza A
• A numerical technique for solving fractional variational problems
• A CHEBYSHEV PSEUDO-SPECTRAL METHOD FOR SOLVING FRACTIONAL-ORDER INTEGRO-DIFFERENTIAL EQUATIONS

This page was built for publication: Numerical treatment for solving fractional SIRC model and influenza A