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Fronts with continuous waiting-time distributions: Theory and application to virus infections

We generalize to arbitrary waiting-time distributions some results which were previously derived for discrete distributions. We show that for any two waiting-time distributions with the same mean delay time, that with higher dispersion will lead to a faster front. Experimental data on the speed of virus infections in a plaque are correctly explained by the theoretical predictions using a Gaussian delay-time distribution, which is more realistic for this system than the Dirac delta distribution considered previously [J. Fort and V. Méndez, Phys. Rev. Lett.89, 178101 (2002)]

American Physical Society

Author: Fort, Joaquim
Pérez Losada, Joaquim
Úbeda de la Casa, Esmeralda
García, F.J.
Date: 2018 June 5
Abstract: We generalize to arbitrary waiting-time distributions some results which were previously derived for discrete distributions. We show that for any two waiting-time distributions with the same mean delay time, that with higher dispersion will lead to a faster front. Experimental data on the speed of virus infections in a plaque are correctly explained by the theoretical predictions using a Gaussian delay-time distribution, which is more realistic for this system than the Dirac delta distribution considered previously [J. Fort and V. Méndez, Phys. Rev. Lett.89, 178101 (2002)]
Document access: http://hdl.handle.net/2072/320304
Language: eng
Publisher: American Physical Society
Rights: Tots els drets reservats
Subject: Virosis -- Models matemàtics
Virus diseases -- Mathematical models
Distribució (Teoria de la probabilitat)
Distribution (Probability theory)
Title: Fronts with continuous waiting-time distributions: Theory and application to virus infections
Type: info:eu-repo/semantics/article
Repository: Recercat

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