Atangana Abdon, Doungmo Goufo Emile Franc
Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South Africa.
Department of Mathematical Sciences, University of South Africa, Florida Sciences Campus, Florida 0003, South Africa.
Biomed Res Int. 2014;2014:618404. doi: 10.1155/2014/618404. Epub 2014 Jul 17.
An analysis of the model underpinning the description of the spread of HIV infection of CD4(+)T cells is examined in detail in this work. Investigations of the disease free and endemic equilibrium are done using the method of Jacobian matrix. An iteration technique, namely, the homotopy decomposition method (HDM), is implemented to give an approximate solution of nonlinear ordinary differential equation systems. The technique is described and illustrated with numerical examples. The approximated solution obtained via HDM is compared with those obtained via other methods to prove the trustworthiness of HDM. Moreover, the lessening and simplicity in calculations furnish HDM with a broader applicability.
本研究详细考察了支持CD4(+)T细胞HIV感染传播描述的模型分析。利用雅可比矩阵方法对无病平衡和地方病平衡进行了研究。采用一种迭代技术，即同伦分解法（HDM），来给出非线性常微分方程组的近似解。对该技术进行了描述并用数值例子进行了说明。将通过HDM获得的近似解与通过其他方法获得的近似解进行比较，以证明HDM的可靠性。此外，计算的简化和简便性使HDM具有更广泛的适用性。
