Traveling waves of infection in the hantavirus epidemics |
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| Authors: | Abramson G Kenkre V M Yates T L Parmenter R R |
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| Affiliation: | (1) Center for Advanced Studies and Department of Physics and Astronomy, University of New Mexico, Albuquerque, NM 87131, USA;(2) Department of Biology and Museum of Southwestern Biology, University of New Mexico, Albuquerque, NM 87131, USA;(3) Sevilleta Long-term Ecological Research Program, Department of Biology, University of New Mexico, Albuquerque, NM 87131, USA;(4) Centro Atómico Bariloche and CONICET, 8400 S. C. de Bariloche, Argentina |
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| 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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