Spreading dynamics and global stability of a generalized epidemic model on complex heterogeneous networks

Guanghu Zhu; Xinchu Fu; Guanrong Chen

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Spreading dynamics and global stability of a generalized epidemic model on complex heterogeneous networks

机译：复杂异构网络上广义传染病模型的扩散动力学和全局稳定性

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摘要

In this paper, a generalized epidemic model on complex heterogeneous networks is proposed. To give a theoretical explanation for the simulation results established on networks, mathematical analysis of the epidemic dynamics is presented via mean-field approximation. Stabilities of the disease-free equilibrium and the endemic equilibrium are studied. The results explain why the heterogeneous connectivity patterns impact the epidemic threshold and reveal how the host parameters and the underlying network structures determine disease propagation.

机译：本文提出了一种基于复杂异构网络的广义流行病模型。为了对建立在网络上的模拟结果提供理论上的解释，通过平均场近似对流行病动力学进行了数学分析。研究了无病平衡和地方平衡的稳定性。结果解释了为什么异构连接模式会影响流行阈值，并揭示宿主参数和底层网络结构如何确定疾病传播。

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来源
《Applied Mathematical Modelling》 |2012年第12期|p.5808-5817|共10页
作者
Guanghu Zhu; Xinchu Fu; Guanrong Chen;
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作者单位

Department of Mathematics, Shanghai University, Shanghai 200444, PR China;

Department of Mathematics, Shanghai University, Shanghai 200444, PR China;

Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, PR China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
heterogeneous network; generalized model; epidemic dynamics; global stability;

机译：异构网络广义模型流行病动态;全球稳定;

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Spreading dynamics and global stability of a generalized epidemic model on complex heterogeneous networks

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