| 应用Adomian分解法求解免疫反应的数学模型 |
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| 引用本文： | 陆益民. 应用Adomian分解法求解免疫反应的数学模型[J]. 广西大学学报(自然科学版), 2007, 32(4): 371-375 |
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| 作者姓名： | 陆益民 |
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| 作者单位： | 广西大学,电气工程学院,广西,南宁,530004 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(60774024)，Natural Science Foundation of Guangxi Province(0728007) |
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| 摘 要： | 为加强对免疫反应动态机理的了解,用Adomian分解法求解一类免疫反应的数学模型,由此可同时得到模型的解析解和数值解.与Runga-Kuta法相比,Adomian分解法的数值结果具有更高的精确性和收敛速度.除免疫反应外,该方法还可推广到其他用微分方程描述的生命系统模型的求解.
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| 关 键 词： | 免疫反应 动态 Adomian分解法 |
| 文章编号： | 1001-7445（2007）04-0371-05 |
| 收稿时间： | 2007-10-20 |
| 修稿时间： | 2007-10-20 |
Adomian decomposition method for solving dynamic model of immune responses |
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| LU Yi-min. Adomian decomposition method for solving dynamic model of immune responses[J]. Journal of Guangxi University(Natural Science Edition), 2007, 32(4): 371-375 |
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| Authors: | LU Yi-min |
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| Abstract: | To improve the understanding of the mechanism and dynamics of Immune responses,the Adomian decomposition method is employed to solve a class of mathematics models of immune responses,and thereby both the analytical and numerical approximate solutions could be offered.Comparing with the Runga-Kuta method,the numerical results show that the decomposition method has a higher accuracy and faster convergence.It is efficient for solving not only mathematics models of immune responses but also the other life system models described by differential equations. |
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| Keywords: | immune responses dynamics Adomian decomposition method |
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