Bursting endemic bubbles in an adaptive network

Sherborne, Neil, Blyuss, Konstantin and Kiss, Istvan (2018) Bursting endemic bubbles in an adaptive network. Physical Review E (PRE), 97 (4). 042306. ISSN 2470-0045

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Abstract

The spread of an infectious disease is known to change people’s behavior, which in turn affects the spread of disease. Adaptive network models that account for both epidemic and behavioral change have found oscillations, but in an extremely narrow region of the parameter space, which contrasts with intuition and available data. In this paper we propose a simple susceptible-infected-susceptible epidemic model on an adaptive network with time-delayed rewiring, and show that oscillatory solutions are now present in a wide region of the parameter space. Altering the transmission or rewiring rates reveals the presence of an endemic bubble - an enclosed region of the parameter space where oscillations are observed.

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
R Medicine > RA Public aspects of medicine > RA0421 Public health. Hygiene. Preventive Medicine > RA0648.5 Epidemics. Epidemiology. Quarantine. Disinfection
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Depositing User: Konstantin Blyuss
Date Deposited: 21 May 2018 13:40
Last Modified: 02 Jul 2019 15:45
URI: http://sro.sussex.ac.uk/id/eprint/75022

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