English

Time-delayed SIS epidemic model with population awareness

Populations and Evolution 2017-04-21 v1 Chaotic Dynamics Quantitative Methods

Abstract

This paper analyses the dynamics of infectious disease with a concurrent spread of disease awareness. The model includes local awareness due to contacts with aware individuals, as well as global awareness due to reported cases of infection and awareness campaigns. We investigate the effects of time delay in response of unaware individuals to available information on the epidemic dynamics by establishing conditions for the Hopf bifurcation of the endemic steady state of the model. Analytical results are supported by numerical bifurcation analysis and simulations.

Keywords

Cite

@article{arxiv.1704.05912,
  title  = {Time-delayed SIS epidemic model with population awareness},
  author = {G. O. Agaba and Y. N. Kyrychko and K. B. Blyuss},
  journal= {arXiv preprint arXiv:1704.05912},
  year   = {2017}
}

Comments

15 pages, 5 figures

R2 v1 2026-06-22T19:21:57.914Z