基于意识作用的复杂网络上SIS模型的稳定性
发布时间：2019-04-18 19:23
【摘要】：研究三种意识对疾病传播的影响,建立了无标度网络上的SIS模型,并得到了该模型无病平衡点的稳定性及传播阈值。结果表明局部意识和接触意识可以提高传播率的阈值,全部意识对无病平衡点的稳定性及传播阈值没有影响。最后利用数值模拟验证了理论结果。
[Abstract]:The influence of three kinds of consciousness on the spread of disease is studied. The SIS model on scale-free networks is established and the stability and transmission threshold of the disease-free equilibrium of the model are obtained. The results show that local consciousness and contact consciousness can improve the threshold of transmission rate, and all consciousness has no effect on the stability and transmission threshold of disease-free equilibrium. Finally, the theoretical results are verified by numerical simulation.
【作者单位】： 山西大学数学科学学院;
【基金】：国家自然科学基金(11471197)
【分类号】：O157.5
本文编号：2460272
[Abstract]:The influence of three kinds of consciousness on the spread of disease is studied. The SIS model on scale-free networks is established and the stability and transmission threshold of the disease-free equilibrium of the model are obtained. The results show that local consciousness and contact consciousness can improve the threshold of transmission rate, and all consciousness has no effect on the stability and transmission threshold of disease-free equilibrium. Finally, the theoretical results are verified by numerical simulation.
【作者单位】： 山西大学数学科学学院;
【基金】：国家自然科学基金(11471197)
【分类号】：O157.5
【相似文献】
相关期刊论文 前1条
1 宋伊琳;崔景安;;具有年龄结构的SIS模型的研究[J];南京师大学报(自然科学版);2006年02期
相关博士学位论文 前1条
1 邹游;集群运动同步与恐慌人群疏散研究[D];中国科学技术大学;2016年
，本文编号：2460272
本文链接：https://www.wllwen.com/kejilunwen/yysx/2460272.html
