Traveling waves of infection in the hantavirus epidemics

Bull Math Biol. 2003 May;65(3):519-34. doi: 10.1016/S0092-8240(03)00013-2.

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.

Publication types

  • Research Support, Non-U.S. Gov't
  • Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

  • Animals
  • Disease Outbreaks*
  • Environment
  • Hantavirus Pulmonary Syndrome / epidemiology*
  • Hantavirus Pulmonary Syndrome / transmission
  • Hantavirus Pulmonary Syndrome / virology
  • Humans
  • Linear Models
  • Models, Biological*
  • Numerical Analysis, Computer-Assisted
  • Orthohantavirus*
  • Peromyscus / virology*
  • Sin Nombre virus*