ArticleJournal of mathematical biology2021
Geometric singular perturbation theory analysis of an epidemic model with spontaneous human behavioral change.
Article in Journal of mathematical biology, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed, 3 citations in OpenAlex.
- Faster Uptake, Slower Let-Down: Asymmetric Community Responses to Changing Risks During a Pandemic.Risk analysis : an official publication of the Society for Risk Analysis · 2026Article
- A game-theoretic model of rabies in domestic dogs with multiple voluntary preventive measures.Journal of mathematical biology · 2022Article
- An epidemiological model with voluntary quarantine strategies governed by evolutionary game dynamics.Chaos, solitons, and fractals · 2021Article
- Discrete epidemic models with two time scales.Advances in difference equations · 2021Article
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1 author at 1 institution in 1 country.
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Abstract
We consider a model due to Piero Poletti and collaborators that adds spontaneous human behavioral change to the standard SIR epidemic model. In its simplest form, the Poletti model adds one differential equation, motivated by evolutionary game theory, to the SIR model. The new equation describes the evolution of a variable x that represents the fraction of the population following normal behavior. The remaining fraction [Formula: see text] uses altered behavior such as staying home, social isolation, mask wearing, etc. Normal behavior offers a higher payoff when the number of infectives is low; altered behavior offers a higher payoff when the number is high. We show that the entry-exit function of geometric singular perturbation theory can be used to analyze the model in the limit in which behavior changes on a much faster time scale than that of the epidemic. In particular, behavior does not change as soon as a different behavior has a higher payoff; current behavior is sticky. The delay until behavior changes is predicted by the entry-exit function.
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