Corpus ID: 195776261

An efficient method to solve the mathematical model of HIV infection for CD8+ T-cells

@article{Noeiaghdam2019AnEM,
  title={An efficient method to solve the mathematical model of HIV infection for CD8+ T-cells},
  author={Samad Noeiaghdam and Emran Khoshrouye Ghiasi},
  journal={ArXiv},
  year={2019},
  volume={abs/1907.01106}
}
In this paper, the mathematical model of HIV infection for CD8+ T-cells is illustrated. The homotopy analysis method and the Laplace transformations are combined for solving this model. Also, the convergence theorem is proved to demonstrate the abilities of presented method for solving non-linear mathematical models. The numerical results for N = 5, 10 are presented. Several h-curves are plotted to show the convergence regions of solutions. The plots of residual error functions indicate the… Expand

Figures, Tables, and Topics from this paper

Dynamical Strategy to Control the Accuracy of the Nonlinear Bio-Mathematical Model of Malaria Infection
TLDR
The convergence theorem is proven to show the capabilities of the CESTAC method and the CADNA library, which are based on the DSA, and the numerical approximations are obtained based on both arithmetics. Expand
Numerical approximation of modified non-linear SIR model of computer viruses
  • S. Noeiaghdam
  • Mathematics, Computer Science
  • Contemporary Mathematics
  • 2019
TLDR
Two semi-analytical methods, the differential transform method (DTM) and the Laplace-Adomian decomposition method (LADM) are applied and the performance of the LADM is compared to the HATM. Expand
Analytical and approximate solutions of an epidemic system of HIV/AIDS transmission
TLDR
This paper constructs approximate solutions of the epidemic system of HIV/AIDS transmission model with the help of the conformable fractional differential transform method and the results show the efficiency of the proposed method. Expand
Semi-analytical Method to Solve the Non-linear System of Equations to Model of Evolution for Smoking Habit in Spain
An epidemiological model of smoking habit is studied by using one of flexible and accurate semianalytical methods. For this reason, the homotopy analysis transform method (HATM) is applied.Expand
The Numerical Validation of the Adomian Decomposition Method for Solving Volterra Integral Equation with Discontinuous Kernels Using the CESTAC Method
The aim of this paper is to present a new method and the tool to validate the numerical results of the Volterra integral equation with discontinuous kernels in linear and non-linear forms obtainedExpand
A Novel Algorithm to Evaluate Definite Integrals by the Gauss-Legendre Integration Rule Based on the Stochastic Arithmetic: Application in the Model of Osmosis System
Received: 20 August 2020 Accepted: 1 December 2020 Finding the optimal iteration of Gaussian quadrature rule is one of the important problems in the computational methods. In this study, we apply theExpand
Caputo-Fabrizio Fractional Derivative to Solve the Fractional Model of Energy Supply-Demand System
Received: 5 June 2020 Accepted: 11 August 2020 The aim of this study, is to present the fractional model of energy supply-demand system (ES-DS) based on the Caputo-Fabrizio derivative. For the firstExpand

References

SHOWING 1-10 OF 61 REFERENCES
Solving a non-linear model of HIV infection for CD4+T cells by combining Laplace transformation and Homotopy analysis method
TLDR
The aim of this paper is to find the approximate solution of HIV infection model of CD4+T cells by using HATM combination of traditional homotopy analysis method (HAM) and the Laplace transformation to show the efficiency and accuracy of method. Expand
A numerical approach to solve the model for HIV infection of CD4+T cells
Abstract In this study, we will obtain the approximate solutions of the HIV infection model of CD4 + T by developing the Bessel collocation method. This model corresponds to a class of nonlinearExpand
On the numerical solution of the model for HIV infection of CD4+ T cells
TLDR
A modified VIM (MVIM), based on the use of Pade approximants is proposed, to give approximate and analytical solutions of nonlinear ordinary differential equation systems such as a model for HIV infection of CD4 +  T cells. Expand
Modeling the dynamics of HIV and CD4+ T cells during primary infection
TLDR
It is found that the delay has no effect on the dynamics of HIV in the proposed model, and the local stability of the delay model is discussed and results are shown numerically. Expand
Mathematical Modelling of In-Vivo Dynamics of HIV Subject to the Influence of the CD8+ T-Cells
There have been many mathematical models aimed at analysing the in-vivo dynamics of HIV. However, in most cases the attention has been on the interaction between the HIV virions and the CD4+Expand
A novel technique to solve the modified epidemiological model of computer viruses
TLDR
The variational iteration method (VIM) is applied to estimate the approximate solution of non-linear epidemiological model of computer viruses and the results are accurate in comparison with the other methods. Expand
Solving a modified nonlinear epidemiological model of computer viruses by homotopy analysis method
The susceptible–infected–recovered model of computer viruses is investigated as a nonlinear system of ordinary differential equations by using the homotopy analysis method (HAM). The HAM is aExpand
Numerical approximation of modified non-linear SIR model of computer viruses
  • S. Noeiaghdam
  • Mathematics, Computer Science
  • Contemporary Mathematics
  • 2019
TLDR
Two semi-analytical methods, the differential transform method (DTM) and the Laplace-Adomian decomposition method (LADM) are applied and the performance of the LADM is compared to the HATM. Expand
An Optimal Control Approach to HIV Immunology
This paper introduces a mathematical model which describes the dynamics of the spread of HIV in the human body. This model is comprised of a system of ordinary differential equations that involveExpand
Modelling the Course of an HIV Infection: Insights from Ecology and Evolution
TLDR
The modeling quest to capture the dynamics of an HIV infection has improved understanding of the progression to AIDS but has also led to the insight that population dynamics and evolutionary processes can be necessary to explain the course of an infection. Expand
...
1
2
3
4
5
...