Traveling waves of infection in the hantavirus epidemics.
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.
Abramson
G
G
Center for Advanced Studies, Department of Physics and Astronomy, University of New Mexico, Albuquerque, NM 87131, USA. abramson@cab.cnea.gov.ar
Kenkre
V M
VM
Yates
T L
TL
Parmenter
R R
RR
D000818:Animals; D004196:Disease Outbreaks; D004777:Environment; D006476:Orthohantavirus; D018804:Hantavirus Pulmonary Syndrome / Q000453:epidemiology* / Q000635:transmission / Q000821:virology; D006801:Humans; D016014:Linear Models; D008954:Models, Biological; D009716:Numerical Analysis, Computer-Assisted; D010542:Peromyscus / Q000821:virology*; D029261:Sin Nombre virus