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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Abramson, G., Kenkre, V.M., Yates, T.L. et al. Traveling waves of infection in the hantavirus epidemics. Bull. Math. Biol. 65, 519–534 (2003). https://doi.org/10.1016/S0092-8240(03)00013-2
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DOI: https://doi.org/10.1016/S0092-8240(03)00013-2