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病毒传播速度的近似解。

Approximate solution to the speed of spreading viruses.

作者信息

Ortega-Cejas Vicente, Fort Joaquim, Méndez Vicenç, Campos Daniel

机构信息

Departamento de Física, Universitat Autònoma de Barcelona, 08193 Bellaterrra, Spain.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Mar;69(3 Pt 1):031909. doi: 10.1103/PhysRevE.69.031909. Epub 2004 Mar 24.

DOI:10.1103/PhysRevE.69.031909
PMID:15089324
Abstract

Recently, it has been shown that the speed of virus infections can be explained by time-delayed reaction-diffusion [J. Fort and V. Méndez, Phys. Rev. Lett. 89, 178101 (2002)], but no analytical solutions were found. Here we derive formulas for the front speed, valid in appropriate limits. We also integrate numerically the evolution equations of the system. There is good agreement with both numerical and experimental speeds.

摘要

最近的研究表明,病毒感染的速度可以用时滞反应扩散来解释[J. 福特和V. 门德斯,《物理评论快报》89, 178101 (2002)],但尚未找到解析解。在此,我们推导出了前沿速度的公式,这些公式在适当的极限情况下有效。我们还对该系统的演化方程进行了数值积分。数值结果与实验速度之间吻合良好。

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