| 基于二维规则网格的SIRS病毒传播模型 |
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| 引用本文： | 周海平,蔡绍洪.基于二维规则网格的SIRS病毒传播模型[J].山东大学学报(理学版),2007,42(11):94-97. |
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| 作者姓名： | 周海平 蔡绍洪 |
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| 作者单位： | 1. 贵州大学,理学院,贵州,贵阳,550025;贵阳学院,计算机科学系,贵州,贵阳,550003
2. 贵州大学,理学院,贵州,贵阳,550025;贵州财经学院,信息学院,贵州,贵阳,550004 |
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| 基金项目： | 国家自然科学基金;贵州省科学技术基金;贵州省教育厅自然科学基金 |
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| 摘 要： | 提出了一个基于二维规则网格的SIRS疾病传播模型，在模型中，研究了群体密度d, 传播效率λ及个体的游动对疾病传播的影响。理论分析和仿真模拟表明该疾病传播模型存在一个临界值(λd)c，只有当群体传播效率和群体密度的乘积λd大于(λd)c时，疾病才能在群体中持续稳定地传播。 另外，研究还发现当群体密度不太大的时候个体的游动更有利于疾病的传播。 根据这些研究结果最后给出了相应的疾病预防和控制措施。
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| 关 键 词： | SIRS模型 疾病传播 仿真模拟 |
| 文章编号： | 1671-9352（2007）11-0094-04 |
| 收稿时间： | 2007-04-01 |
A spreading model of the SIRS virus based on a two-dimensional regular lattice |
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| ZHOU Hai-ping,CAI Shao-hong.A spreading model of the SIRS virus based on a two-dimensional regular lattice[J].Journal of Shandong University,2007,42(11):94-97. |
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| Authors: | ZHOU Hai-ping CAI Shao-hong |
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| Institution: | 1. College of Science, Guizhou University, Guiyang 550025;2. School of Information, Guizhou Economy & Finace College, Guiyang 550004;3. Department of Computer Science, Guiyang College, Guiyang 550003, Guizhou, China |
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| Abstract: | A SIRS disease spreading model based on a two-dimensional regular lattice was proposed. For this model, the effects of crowd-density d, spread efficiency λ and the moving activity of agents on the spreading of disease was studied. The theoretical analysis and analog simulation show that there is a critical value (λd)c in this model, and only when the product of spread efficiency and crowd density goes beyond the critical value (λd)c that the disease can spread continuously and steadily in a crowd. Also, the moving activity of agents can promote the spreading of disease in the case of low crowd density. According to these results, measures are presented to prevent the spreading of disease. |
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| Keywords: | SIRS model disease spreading analog simulation |
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