Threshold dynamics in a time-delayed periodic SIS epidemicmodel

Yijun Lou; Xiao-Qiang Zhao

doi:10.3934/dcdsb.2009.12.169

Article Contents

2009, Volume 12, Issue 1: 169-186. Doi: 10.3934/dcdsb.2009.12.169

This issue Previous Article Bifurcation analysis in models of tumor and immune system interactions Next Article Lyapunov exponents and persistence in discrete dynamical systems

Threshold dynamics in a time-delayed periodic SIS epidemic model

Yijun Lou^1, and
Xiao-Qiang Zhao^2,

1.
Department of Mathematics, Memorial University of Newfoundland, St. John's, NL A1C 5S7
2.
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. Johns, NF A1C 5S7

Received: August 2008

Revised: December 2008

Published: July 2009

Abstract / Introduction Related Papers Cited by

Abstract

The global dynamics of a periodic SIS epidemic model with maturation delay is investigated. We first obtain sufficient conditions for the single population growth equation to admit a globally attractive positive periodic solution. Then we introduce the basic reproduction ratio $\mathcal{R}_0$ for the epidemic model, and show that the disease dies out when $\mathcal{R}_0<1$, and the disease remains endemic when $\mathcal{R}_0>1$. Numerical simulations are also provided to confirm our analytic results.

Keywords:

Mathematics Subject Classification: 92D30, 34K13, 37N25.

Citation:

Article Metrics

HTML views() PDF downloads(176) Cited by(0)

Threshold dynamics in a time-delayed periodic SIS epidemic model

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Threshold dynamics in a time-delayed periodic SIS epidemic model

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content