Traveling waves of infection in the Hantavirus epidemics

2002/03/27 by G. Abramson, V. M. Kenkre, T. L. Yates +1
Physics and Astronomy · Biochemistry, Genetics and Molecular Biology · #physics.bio-ph #cond-mat.stat-mech #nlin.PS #q-bio.PE

paper · pdf

published as Bulletin of Mathematical Biology 65, 519 (2003) · RevTex 4, 5 in-lined figures

arxiv created 2002/03/27 · arxiv updated 2009/11/30

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.

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