Spatial behavioural responses to the spread of an infectious disease can suppress Turing and Turing–Hopf patterning of the disease

d’Onofrio, Alberto, Malay Banerjee and Piero Manfredi

Physica A: Statistical Mechanics and its Applications, 2020, vol. 545, issue C

Abstract: Reducing risky behaviour and/or avoiding sites where the risk of infection is perceived as higher (by social and/or spatial distancing) represent the two main forms of non-pharmaceutical behavioural responses of humans to the threats of infectious diseases. Here we investigate, within a reaction–diffusion setting, a family of new models for an endemic SIR (susceptible–infective–removed) infectious disease for which no vaccine is available and individuals’ responses to the infection threat are entirely based on changes either in their social behaviour or in their mobility behaviour, that is avoiding to visit sites with a large infection prevalence.

Keywords: Human behaviour; Infectious diseases; Spatial; Social distancing; Nonlinear cross-diffusion; Turing bifurcation; Turing–Hopf instability (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119321016

DOI: 10.1016/j.physa.2019.123773

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