Dynamics of vaccination in a time-delayed epidemic model with awareness

Agaba, G O, Kyrychko, Y N and Blyuss, K B (2017) Dynamics of vaccination in a time-delayed epidemic model with awareness. Mathematical Biosciences, 294. pp. 92-99. ISSN 0025-5564

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Abstract

This paper investigates the effects of vaccination on the dynamics of infectious disease, which is spreading in a population concurrently with awareness. The model considers contributions to the overall awareness from a global information campaign, direct contacts between unaware and aware individuals, and reported cases of infection. It is assumed that there is some time delay between individuals becoming aware and modifying their behaviour. Vaccination is administered to newborns, as well as to aware individuals, and it is further assumed that vaccine-induced immunity may wane with time. Feasibility and stability of the disease-free and endemic equilibria are studied analytically, and conditions for the Hopf bifurcation of the endemic steady state are found in terms of system parameters and the time delay. Analytical results are supported by numerical continuation of the Hopf bifurcation and numerical simulations of the model to illustrate different types of dynamical behaviour.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups: Mathematics Applied to Biology Research Group
Subjects: Q Science > QA Mathematics
Depositing User: Konstantin Blyuss
Date Deposited: 10 Nov 2017 16:16
Last Modified: 10 Nov 2017 16:16
URI: http://sro.sussex.ac.uk/id/eprint/71131

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