# Time-delayed SIS epidemic model with population awareness

## TL;DR

This paper studies a time-delayed SIS epidemic model incorporating local and global awareness, analyzing how delays in response influence disease dynamics through bifurcation analysis and simulations.

## Contribution

It introduces a novel epidemic model with time delays and awareness mechanisms, providing analytical conditions for bifurcations and dynamic behavior insights.

## Key findings

- Delay can induce oscillations in disease prevalence.
- Awareness spread impacts epidemic stability.
- Bifurcation points identified for different delay durations.

## 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.