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

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posted on 2023-06-09, 08:47 authored by G O Agaba, Yuliya KyrychkoYuliya Kyrychko, Konstantin BlyussKonstantin Blyuss
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.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Mathematical Biosciences

ISSN

0025-5564

Publisher

Elsevier

Volume

294

Page range

92-99

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Mathematics Applied to Biology Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2017-11-10

First Open Access (FOA) Date

2018-09-28

First Compliant Deposit (FCD) Date

2017-11-10

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