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Traveling waves of infection in the hantavirus epidemics
G Abramson1, V M Kenkre, T L Yates
1Center for Advanced Studies, Department of Physics and Astronomy, University of New Mexico, Albuquerque, NM 87131, USA. abramson@cab.cnea.gov.ar
Abstract:
Traveling waves are analyzed in a model of the hantavirus infection in 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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