Matrix Science Mathematic · 2019 · 14 citations · 11 references
Natural SciencesInfectious DiseasesMathematicsBiological Systems ModelingDifferential EquationsHiv PreventionAntiretroviral TherapyImmune System ModelingNumerical AnalysisNumerical Methods For Differential EquationsOrdinary Differential Equation ModelsCd4 Positive T CellsDifferential Equation SolversEfficiencyHiv Infection ModelsMathematical Modeling Of EpidemicsNumerical Solutions Of Ordinary Differential EquationsOrdinary Differential Equation SolversOrdinary Differential Equation Systems
In this article, the Adomian decomposition method (ADM) is applied to find the solution of HIV infection model of latently infected CD4+T cells. This method investigates the solution of ordinary differential equation which is calculated in the form of the components of an infinite series. These components can be easily calculated. The efficiency and the reliability of proposed method is demonstrated in different time intervals by numerical example. The derived results indicate that the approximate solution by using the ADM can be obtained in a more efficient way. All computations have been carried out by computer code written in Mathematica.
11
Mathematical Analysis of HIV-1 Dynamics in Vivo
Alan S. Perelson, Patrick W. Nelson · SIAM Review · 1999 · 1.6K citations
Homotopy perturbation method for solving boundary value problems
Ji‐Huan He · Physics Letters A · 2005 · 1.1K citations
Immune control of HIV-1 after early treatment of acute infection
Eric Rosenberg, Marcus Altfeld, Samuel Poon et al. · Nature · 2000 · 998 citations