| 复杂网络上的一种综合型SIRS模型 |
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| 引用本文： | 张达敏,蔡绍洪,周海平,郭长睿.复杂网络上的一种综合型SIRS模型[J].兰州大学学报(自然科学版),2009,45(3). |
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| 作者姓名： | 张达敏 蔡绍洪 周海平 郭长睿 |
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| 作者单位： | 1. 贵州大学计算机科学与信息学院,贵阳,550025
2. 贵州财经学院信息技术学院,贵阳,550004 |
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| 基金项目： | 国家自然科学基金，贵州省自然科学基金，贵州省教育厅科学技术基金 |
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| 摘 要： | 提出一个综合考虑人工免疫、反馈机制、群体密度和群体游动等多种因素的SIRS疾病传播模型,通过理论分析和计算机模拟对该模型的动力学行为进行详细研究.结果表明:人工免疫对系统的稳态感染比例和传播阈值都有影响;反馈机制仅对系统的稳态感染比例有影响,但对传播阈值没有影响;群体密度越大,系统的稳态感染比例也越大,但传播阈值反而越小.另外,在群体密度不太大时,群体游动时的稳态感染比例要高于群体静止时的稳态感染比例,这说明群体游动更有利于疾病的传播.
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| 关 键 词： | SIRS模型 人工免疫 反馈机制 群体密度 计算机仿真 |
A unified SIRS model on complex networks |
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| ZHANG Da-min,CAI Shao-hong,ZHOU Hai-ping,GUO Chang-rui.A unified SIRS model on complex networks[J].Journal of Lanzhou University(Natural Science),2009,45(3). |
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| Authors: | ZHANG Da-min CAI Shao-hong ZHOU Hai-ping GUO Chang-rui |
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| Institution: | 1.School of Computer Science and Information;Guizhou University;Guiyang 550025;China;2.School of Information Technology;Guizhou College of Finance and Economics;Guiyang 550004;China |
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| Abstract: | A unified SIRS epidemic model relating to artificial immunity,feedback mechanism,crowd-density and the moving activity of individuals was proposed.The dynamic behavior of the model was studied through a theoretical analysis and computer simulation.The results show that artificial immunity can impact the stable infective ratio and the spreading threshold of the system.Feedback can impact the stable infective ratio only,but not the spreading threshold of the system.The bigger the crowd-density is,the higher t... |
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| Keywords: | SIRS model artificial immunity feedback mechanism crowd-density computer simulation |
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