Traveling waves of infection in the Hantavirus epidemics

Preprint

27 March 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.physics/0203088

Abstract

Traveling waves are analyzed in a model of the Hantavirus infection of deer mice. The existence of two kinds of wave phenomena is predicted. An environmental parameter governs a transition between two regimes of propagation. In one of them the front of infection lags behind at a constant rate. In the other, fronts of susceptible and infected mice travel at the same speed, separated by a constant delay. The dependence of the delay on system parameters is analyzed numerically and through a piecewise linearization.

Keywords

HANTAVIRUS EPIDEMICS
EPIDEMICS TRAVELING
DELAY ON SYSTEM
TRAVELING WAVES
CONSTANT RATE
INFECTION
DEER
MICE

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Version 1, 2002-03-27, ArXiv

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