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| 规则网格中带人工免疫SIRS模型的动力学行为 | |
| 引用本文： | 张达敏,蔡绍洪,周海平,郭长睿.规则网格中带人工免疫SIRS模型的动力学行为[J].云南大学学报(自然科学版),2010,32(2):158-162. |
| 作者姓名： | 张达敏 蔡绍洪 周海平 郭长睿 |
| 作者单位： | 1. 贵州大学计算机科学与信息学院, 贵州贵阳 550025; 2. 贵阳学院计算机系, 贵州贵阳 550003; 3. 贵州财经学院, 贵州贵阳 550004 |
| 摘 要： | 运用平均场理论和非线性动力学方法分析规则网格中带人工免疫SIRS传播模型的动力学行为,并通过计算机模拟来研究人工免疫,群体密度以及个体游动等因素对疾病传播的影响.结果表明实施人工免疫可以有效降低系统的稳态感染比例,提高系统的传播阈值,而且在群体静止情况下的效果明显高于群体游动时的效果.与此相反,个体的随机游动会提高系统的稳态感染比例,降低系统的传播阈值. |
| 关 键 词： | 规则网格 SIRS模型 人工免疫 群体密度 传播效率 |
| 收稿时间： | 2009-5-12 |
The dynamic behavior of SIRS model with immunization on regular lattice |
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| ZHANG Da-min,CAI Shao-hong,ZHOU Hai-ping,GUO Chang-rui.The dynamic behavior of SIRS model with immunization on regular lattice[J].Journal of Yunnan University(Natural Sciences),2010,32(2):158-162. | |
| Authors: | ZHANG Da-min CAI Shao-hong ZHOU Hai-ping GUO Chang-rui |
| Institution: | 1. School of Computer Science and Information, Guizhou University, Guiyang 550025, China; 2. Department of Computer Science, Guiyang College, Guiyang 550003, China; 3. Guizhou College of Finance and Economics, Guiyang 550004, China |
| Abstract: | According to the mean-field theory and nonlinear theory,the dynamic behavior of SIRSmodel with immunization on regular lattice is discussed in detail.The effects of artificial immunization,crowd density and the moving activity of individuals on disease spreading are investigated by computer simulation.The results indicate that artificial immunization can reduce the stable infective ratio and increase the threshold of epidemic spread.Furthermore,its effect in the case of static crowd is better than that of moving crowd.On the contrary,the moving activity of individuals can enhance the stable infective ratio and decrease the threshold of epidemic spread. |
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