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  • 标题:Solution of the fractional epidemic model by homotopy analysis method
  • 本地全文:下载
  • 作者:Omar Abu Arqub ; Omar Abu Arqub ; Ahmad El-Ajou
  • 期刊名称:Journal of King Saud University - Science
  • 印刷版ISSN:1018-3647
  • 出版年度:2013
  • 卷号:25
  • 期号:1
  • 页码:73-81
  • DOI:10.1016/j.jksus.2012.01.003
  • 语种:English
  • 出版社:Elsevier
  • 摘要:Abstract In this article, we investigate the accuracy of the homotopy analysis method (HAM) for solving the fractional order problem of the spread of a non-fatal disease in a population. The HAM provides us with a simple way to adjust and control the convergence region of the series solution by introducing an auxiliary parameter. Mathematical modeling of the problem leads to a system of nonlinear fractional differential equations. Graphical results are presented and discussed quantitatively to illustrate the solution.
  • 关键词:Homotopy analysis method; Fractional epidemic model; System of nonlinear differential equations;
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