| 传染病动力学的一个细胞自动机模型 |
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| 引用本文： | 刘永信,马克健.传染病动力学的一个细胞自动机模型[J].内蒙古大学学报(自然科学版),1997,28(3):375-378. |
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| 作者姓名： | 刘永信 马克健 |
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| 作者单位： | 内蒙古大学理论物理研究室 |
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| 基金项目： | 内蒙古自然科学基金,内蒙古高校科研基金 |
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| 摘 要： | 由细胞自动机出发提出一个传染病流行的非线性动力学模型，由计算机数值模拟，应用自组织临界理论分析结果，发现发病率和治愈率均为５０％时存在着分界点。在分界点两侧，患病集团分布和传染持续时间分布分别服从指数律和幂律，免疫体的分布具有不同的分数维。
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| 关 键 词： | 细胞自动机 自组织临界 传染病动力学 |
A Cellular Automata Model for the Dynamics of Infectious Diseases |
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| Liu Yongxin,Ma Kejian.A Cellular Automata Model for the Dynamics of Infectious Diseases[J].Acta Scientiarum Naturalium Universitatis Neimongol,1997,28(3):375-378. |
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| Authors: | Liu Yongxin Ma Kejian |
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| Abstract: | A nonlinear model for the dynamics behaviour of infectious diseases spread is established from cellular automation.Applying self organized criticality theory to the simulated results by computer,it has been discovered that distributions of infection patients cluster size and duration of infectious diseases spread have been divided into two regions from the points with infectived and cure rate being 50%.In the two regions the distributions obey exponent or power law respectively and there is different fractal dimension in the distribution of immunities. |
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| Keywords: | infectious diseases cellular automation self organized criticality |
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