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Bursting endemic bubbles in an adaptive network

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posted on 2023-06-09, 12:50 authored by Neil Sherborne, Konstantin BlyussKonstantin Blyuss, Istvan Kiss
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.

Funding

EPSRC; EP/M506667/1

History

Publication status

  • Published

File Version

  • Published version

Journal

Physical Review E (PRE)

ISSN

2470-0045

Publisher

American Physical Society

Issue

4

Volume

97

Page range

042306

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

2018-05-21

First Open Access (FOA) Date

2018-05-21

First Compliant Deposit (FCD) Date

2018-04-11

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