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