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arXiv · 1704.05912

Time-delayed SIS epidemic model with population awareness

G. O. Agaba·Y. N. Kyrychko·K. B. Blyuss
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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.

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G. O. Agaba, Y. N. Kyrychko, K. B. Blyuss. 2017-04-19. Time-delayed SIS epidemic model with population awareness. https://doi.org/10.1016/j.ecocom.2017.03.002

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