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Mathematical model for the impact of awareness on the dynamics of infectious diseases

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posted on 2023-06-09, 05:05 authored by G O Agaba, Yuliya KyrychkoYuliya Kyrychko, Konstantin BlyussKonstantin Blyuss
This paper analyses an SIRS-type model for infectious diseases with account for behavioural changes associated with the simultaneous spread of awareness in the population. Two types of awareness are included into the model: private awareness associated with direct contacts between unaware and aware populations, and public information campaign. Stability analysis of different steady states in the model provides information about potential spread of disease in a population, and well as about how the disease dynamics is affected by the two types of awareness. Numerical simulations are performed to illustrate the behaviour of the system in different dynamical regimes.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Mathematical Biosciences

ISSN

0025-5564

Publisher

Elsevier

Volume

286

Page range

22-30

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2017-02-08

First Open Access (FOA) Date

2018-02-03

First Compliant Deposit (FCD) Date

2017-02-07

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