| 一个血红细胞系生成的数学模型的分析 |
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| 引用本文： | 牛志英 万文华. 一个血红细胞系生成的数学模型的分析[J]. 北京理工大学学报, 1993, 13(1): 1-9 |
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| 作者姓名： | 牛志英 万文华 |
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| 作者单位： | 北京理工大学应用数学系，北京理工大学应用数学系 北京 100081，北京 100081 |
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| 摘 要： | 研究了免疫学中的一个基本数学模型——血红细胞系生成的数学模型.证明了这个含时滞的反应扩散方程组的初边值问题整体解的存在性、唯一性和非负有界性,平衡解的存在唯一性及稳定性。
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| 关 键 词： | 免疫学 血细胞 有界性 血红细胞 |
On a Mathematical Model for the Formation of HemoDoiesis |
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| Niu Zhiying Wan Wenhua. On a Mathematical Model for the Formation of HemoDoiesis[J]. Journal of Beijing Institute of Technology(Natural Science Edition), 1993, 13(1): 1-9 |
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| Authors: | Niu Zhiying Wan Wenhua |
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| Abstract: | A basic model in immunology, that of the formation of hemopoiesis, and the corresponding initial and boundary value problem for a reaction-diffusion system with time delay is studied. By using the upper and lower method and a well-defined iterated scheme, the existence, uniqueness, boundedness, and non-negativeness of the global solutions are proved. Especially the uniqueness of equilibrium solutions under some conditions are proved . The asymptotic behavior of the equilibrium solutions are discussed. The sufficient conditions for stabiMty of the equilibrium solutions are given. |
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| Keywords: | immunology blood cells stability boundedness/hemopoiesis |
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