Skip to main content
SpringerLink
Log in

Bistable Waves in an Epidemic Model

  • Published:
Journal of Dynamics and Differential Equations Aims and scope Submit manuscript

abstract

The existence, uniqueness up to translation and global exponential stability with phase shift of bistable travelling waves are established for a quasimonotone reaction–diffusion system modelling man–environment–man epidemics. The methods involve phase space investigation, monotone semiflows approach and spectrum analysis.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NF, A1C 5S7, Canada

    Dashun Xu & Xiao-Qiang Zhao

Authors
  1. Dashun Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xiao-Qiang Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiao-Qiang Zhao.

Additional information

Dedicated to Professor Shui-Nee Chow on the occasion of his 60th birthday.

Supported in part by the NSERC of Canada

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xu, D., Zhao, XQ. Bistable Waves in an Epidemic Model. J Dyn Diff Equat 16, 679–707 (2004). https://doi.org/10.1007/s10884-004-6113-z

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10884-004-6113-z

Keywords

Search

Navigation