求解潜伏感染细胞HIV感染模型的ADOMIAN分解方法

Nigar Ali, Saeed Ahmad, Sartaj Aziz, G. Zaman
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引用次数: 12

摘要

本文应用阿多米安分解法(ADM)寻找潜伏感染CD4+T细胞的HIV感染模型的解决方案。该方法研究了以无穷级数的分量形式计算的常微分方程的解。这些分量可以很容易地计算出来。通过算例验证了该方法在不同时间间隔下的有效性和可靠性。结果表明,利用ADM可以更有效地得到近似解。所有的计算都是用Mathematica编写的计算机代码进行的。
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THE ADOMIAN DECOMPOSITION METHOD FOR SOLVING HIV INFECTION MODEL OF LATENTLY INFECTED CELLS
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.
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