| 肿瘤免疫监视非线性动力系统模型的稳定性分析 |
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| 引用本文： | 郭瑜.肿瘤免疫监视非线性动力系统模型的稳定性分析[J].西北师范大学学报,2007,43(1):13-17. |
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| 作者姓名： | 郭瑜 |
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| 作者单位： | 青海师范大学法商学院 青海西宁810008 |
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| 摘 要： | 用严格的常微分方程稳定性理论,对肿瘤免疫监视模型的单变量系统平衡态的局部渐进稳定性做了深入分析.同时,对系统解的吸引域以及平衡态的全局稳定性,采用李雅普诺夫函数法进行完整的讨论.最后,利用数值模拟进一步验证了理论分析的正确性.
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| 关 键 词： | 癌细胞 免疫监视 李雅普诺夫函数 局部渐近稳定性 全局渐近稳定性 |
| 文章编号： | 1001-988X（2007）01-0013-05 |
| 修稿时间： | 2006-07-16 |
Stability analysis of the tumor immunity surveillance nonlinear dynamic system model |
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| GUO Yu.Stability analysis of the tumor immunity surveillance nonlinear dynamic system model[J].Journal of Northwest Normal University Natural Science (Bimonthly),2007,43(1):13-17. |
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| Authors: | GUO Yu |
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| Institution: | The Law and Commerce School, Qinghai Normal University, Xining 810008, Qinghai, China |
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| Abstract: | This article penetratively analyses the locally asymptotic stability of equilibrium state to the single-variable system of the tumor immunity surveillance model by aid of the ordinary differential equation stability theory.Furthermore,according to the method of Liapunov functions in the stability theory,both the globally asymptotic stability and the attractive regions of the nonnegative equilibrium in the model are discussed.Finally a numerical simulation result is given,which can support our theoretical analysis. |
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| Keywords: | cancerous cell immune surveillance Liapunov function locally asymptotic stability globally asymptotic stability |
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