Export file:


  • RIS(for EndNote,Reference Manager,ProCite)
  • BibTex
  • Text


  • Citation Only
  • Citation and Abstract

Threshold dynamics of a time-delayed hantavirus infection model in periodic environments

School of Science, Xi’an Polytechnic University, Xi’an, Shaanxi 710048, P.R. China

Special Issues: Transmission dynamics in infectious diseases

We formulate and study a mathematical model for the propagation of hantavirus infection in the mouse population. This model includes seasonality, incubation period, direct transmission (con-tacts between individuals) and indirect transmission (through the environment). For the time-periodic model, the basic reproduction number R0 is defined as the spectral radius of the next generation oper-ator. Then, we show the virus is uniformly persistent when R0 > 1 while tends to die out if R0 < 1. When there is no seasonality, that is, all coefficients are constants, we obtain the explicit expression for the basic reproduction number R0 , such that if R0 < 1, then the virus-free equilibrium is glob-ally asymptotically stable, but if R0 > 1, the endemic equilibrium is globally attractive. Numerical simulations indicate that prolonging the incubation period may be helpful in the virus control. Some sensitivity analysis of R0 is performed.
  Article Metrics
Download full text in PDF

Export Citation

Article outline

Copyright © AIMS Press All Rights Reserved