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_49
Snippet: . CC-BY-NC-ND 4.0 International license author/funder. It is made available under a The copyright holder for this preprint (which was not peer-reviewed) is the . https://doi.org/10.1101/2020.04.14.028407 doi: bioRxiv preprint Table 1 ): a) when b 0 = 0.005, there is monotonic convergence to the disease-free equilibrium atÃŽ 0 = 0 where R 0 < 1; b) when b 0 = 0.01, there is monotonic convergence to theÃŽ 2 equilibrium when R 0 > 1, but R t approac.....
Document: . CC-BY-NC-ND 4.0 International license author/funder. It is made available under a The copyright holder for this preprint (which was not peer-reviewed) is the . https://doi.org/10.1101/2020.04.14.028407 doi: bioRxiv preprint Table 1 ): a) when b 0 = 0.005, there is monotonic convergence to the disease-free equilibrium atÃŽ 0 = 0 where R 0 < 1; b) when b 0 = 0.01, there is monotonic convergence to theÃŽ 2 equilibrium when R 0 > 1, but R t approaches 1 as the system goes to equilibrium; c) when b 0 = 0.033 there is damped oscillation that overshoots the equilibrium with progressively smaller amplitude until it reaches the equilibrium where R = 1; d) when b 0 = 0.04, there is perpetual oscillation without consistent period or amplitude with R t fluctuating frequently below and above 1 results; and e) when b 0 = 0.05, a collapse of the system occurs.
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