同质和异质网络上流行病传播的阶段性进展模型。

IF 2.6 3区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Systems Science & Complexity Pub Date : 2011-01-01 Epub Date: 2011-06-11 DOI:10.1007/s11424-011-8252-8

Haifeng Zhang, Michael Small, Xinchu Fu

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引用次数: 0

摘要

本文研究了在同质和异质网络上使用分阶段进展模型的流行病传播。首先，给出了简单分阶段发展模型的流行阈值。然后还考虑了有出生和死亡的分阶段进展模型。此外，还讨论了传染性是节点度非线性函数的情况。最后，通过数值模拟验证了分析结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Staged progression model for epidemic spread on homogeneous and heterogeneous networks.

In this paper, epidemic spread with the staged progression model on homogeneous and heterogeneous networks is studied. First, the epidemic threshold of the simple staged progression model is given. Then the staged progression model with birth and death is also considered. The case where infectivity is a nonlinear function of the nodes' degree is discussed, too. Finally, the analytical results are verified by numerical simulations.

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来源期刊

Journal of Systems Science & Complexity 数学-数学跨学科应用

CiteScore

3.80

自引率

9.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal of Systems Science and Complexity is dedicated to publishing high quality papers on mathematical theories, methodologies, and applications of systems science and complexity science. It encourages fundamental research into complex systems and complexity and fosters cross-disciplinary approaches to elucidate the common mathematical methods that arise in natural, artificial, and social systems. Topics covered are: complex systems, systems control, operations research for complex systems, economic and financial systems analysis, statistics and data science, computer mathematics, systems security, coding theory and crypto-systems, other topics related to systems science.