Author: Ronan F. Arthur; James H. Jones; Matthew H. Bonds; Marcus W. Feldman
Title: Complex dynamics induced by delayed adaptive behavior during epidemics Document date: 2020_4_16
ID: f4ro5jst_8
Snippet: To address the gap in the literature, we develop and analyze a simple model based on the principle of endogenous behavior change during epidemics of infectious diseases. We introduce a dynamic utility function that determines the population's effective contact rate at a particular time period. This utility function is based on information about the epidemic size that may not be current. Results from the model show that the system approaches an eq.....
Document: To address the gap in the literature, we develop and analyze a simple model based on the principle of endogenous behavior change during epidemics of infectious diseases. We introduce a dynamic utility function that determines the population's effective contact rate at a particular time period. This utility function is based on information about the epidemic size that may not be current. Results from the model show that the system approaches an equilibrium in most cases, although small parameter perturbations can lead the dynamics to enter qualitatively distinct regimes. This dynamical behavior is similar to models of ecological population dynamics, and a useful mathematical parallel is drawn between these systems.
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