摘要翻译：
本文的目的是寻求CD4+T细胞HIV感染模型的近似解。为此，应用了同伦分析变换法(HATM)。该方法是传统的同伦分析法(HAM)和拉普拉斯变换的结合。通过建立一个定理，讨论了该方法的收敛性，证明了该方法的有效性。给出了不同迭代值下的数值结果。同时，通过绘制几条H-曲线来证明收敛区域。此外，为了说明该方法的有效性和准确性，给出了不同迭代的残差。
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英文标题：
《Solving a non-linear model of HIV infection for CD4+T cells by combining
  Laplace transformation and Homotopy analysis method》
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作者：
Samad Noeiaghdam, Emran Khoshrouye Ghiasi
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最新提交年份：
2019
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分类信息：

一级分类：Quantitative Biology        数量生物学
二级分类：Other Quantitative Biology        其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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英文摘要：
  The aim of this paper is to find the approximate solution of HIV infection model of CD4+T cells. For this reason, the homotopy analysis transform method (HATM) is applied. The presented method is combination of traditional homotopy analysis method (HAM) and the Laplace transformation. The convergence of presented method is discussed by preparing a theorem which shows the capabilities of method. The numerical results are shown for different values of iterations. Also, the regions of convergence are demonstrated by plotting several h-curves. Furthermore in order to show the efficiency and accuracy of method, the residual error for different iterations are presented.
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PDF链接：
https://arxiv.org/pdf/1809.06232