Numerical treatment of the fractional modeling on susceptible-infected-recovered equations with a constant vaccination rate by using GEM

DOI10.1515/ijnsns-2018-0187OpenAlexW2904406084MaRDI QIDQ1720039

Mohamed H. Adel, Mohamed M. Khader

Publication date: 12 February 2019

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2018-0187

zbMATH Keywords

generalized Euler methodRK4fractional SIR model

Mathematics Subject Classification ID

Numerical analysis (65-XX) Ordinary differential equations (34-XX)

Related Items (3)

A fractional-order mathematical model based on vaccinated and infected compartments of SARS-CoV-2 with a real case study during the last stages of the epidemiological event ⋮ Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations ⋮ Using the generalized Adams-Bashforth-Moulton method for obtaining the numerical solution of some variable-order fractional dynamical models

Cites Work

• On the numerical solutions for the fractional diffusion equation
• Generalized Taylor's formula
• Global existence theory and chaos control of fractional differential equations
• A quintic B-spline based differential quadrature method for numerical solution of Kuramoto-Sivashinsky equation
• Numerical method for a class of nonlinear singularly perturbed delay differential equations using parametric cubic spline
• A new analytical technique for solving Lane-Emden type equations arising in astrophysics
• Integral spectral Tchebyshev approach for solving space Riemann-Liouville and Riesz fractional advection-dispersion problems
• Generalized Lucas polynomial sequence approach for fractional differential equations
• Front dynamics in fractional-order epidemic models
• Front dynamics in a two-species competition model driven by Lévy flights
• Comparative study between optimal homotopy asymptotic method and perturbation-iteration technique for different types of nonlinear equations
• Numerical solutions of fractional wave equations using an efficient class of FDM based on the Hermite formula
• Jacobi collocation scheme for variable-order fractional reaction-subdiffusion equation
• Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations
• A mathematical model on fractional Lotka-Volterra equations
• Spectral solutions for differential and integral equations with varying coefficients using classical orthogonal polynomials
• Numerical methods for nonlinear partial differential equations of fractional order
• On the stability analysis of weighted average finite difference methods for fractional wave equation

This page was built for publication: Numerical treatment of the fractional modeling on susceptible-infected-recovered equations with a constant vaccination rate by using GEM