Mathematical modeling and numerical simulation of HIV infection model

DOI10.1016/j.rinam.2020.100118zbMath1471.65068OpenAlexW3028478611MaRDI QIDQ831390

Muhammad Sohaib, Attaullah

Publication date: 11 May 2021

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.rinam.2020.100118

zbMATH Keywords

Runge-Kutta methodsHIV model\(\mathrm{CD}4^+\) T-cells

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Medical epidemiology (92C60) Numerical methods for stiff equations (65L04) Mathematical modeling or simulation for problems pertaining to biology (92-10)

Related Items (9)

Dynamical behavior of a higher order stochastically perturbed HIV/AIDS model with differential infectivity and amelioration ⋮ Stability Analysis, Hopf Bifurcation and Drug Therapy Control of an HIV Viral Infection Model with Logistic Growth Rate and Cell-to-Cell and Cell-Free Transmissions ⋮ A Mathematical Model for HIV/AIDS Under Pre-Exposure and Post-Exposure Prophylaxis ⋮ A fractional order HIV/AIDS epidemic model with Mittag-Leffler kernel ⋮ Dynamical behaviour of HIV infection with the influence of variable source term through Galerkin method ⋮ Numerical solutions of the HIV infection model of CD4(\(+\)) cells by Laguerre wavelets ⋮ Unnamed Item ⋮ Neuro-optimized numerical treatment of HIV infection model ⋮ A fractional-order fall armyworm-maize biomass model with naturally beneficial insects and optimal farming awareness

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A numerical approach to solve the model for HIV infection of CD4\(^{+}\)T cells
• Application of the homotopy analysis method for solving a model for HIV infection of CD4\(^{+}\) T-cells
• The Laplace Adomian decomposition method for solving a model for HIV infection of \(CD4^{+}T\) cells
• On the numerical solution of the model for HIV infection of \(CD4^{+}\) T cells
• Numerical treatment of the model for HIV infection of CD4\(^{+}\)T cells by using multistep Laplace Adomian decomposition method
• Optimal control of the chemotherapy of HIV
• A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
• Global dynamics of a virus-immune system with virus-guided therapy and saturation growth of virus
• A numerical assessment of parabolic partial differential equations using Haar and Legendre wavelets
• Dynamics of HIV infection of CD4\(^ +\) T cells
• A model for treatment strategy in the chemotherapy of AIDS
• Mathematical modeling to study multistage stem cell transplantation in HIV-1 patients
• Global stability and periodic solution of a model for HIV infection of CD4\(^{+}\) T cells
• Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions
• Wavelets method for the time fractional diffusion-wave equation
• The Mathematics of Infectious Diseases
• Higher order Galerkin time discretizations and fast multigrid solvers for the heat equation
• A Note on Accurate and Efficient Higher Order Galerkin Time Stepping Schemes for the Nonstationary Stokes Equations
• A-stable discontinuous Galerkin–Petrov time discretization of higher order
• Continuous Finite Elements in Space and Time for the Heat Equation
• Mathematical Analysis of HIV-1 Dynamics in Vivo

This page was built for publication: Mathematical modeling and numerical simulation of HIV infection model