Time-delayed SIS epidemic model with population awareness
arXiv:1704.05912 · doi:10.1016/j.ecocom.2017.03.002
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.
15 pages, 5 figures
References in corpus (5)
- Adaptive Coevolutionary Networks: A Review
- Mathematical model for the impact of awareness on the dynamics of infectious diseases
- Pairwise-like models for non-Markovian epidemics on networks
- Dynamics of multi-stage infections on networks
- Compact pairwise models for epidemics with multiple infectious stages on degree heterogeneous and clustered networks