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_42
Snippet: • α 1 , the utility associated with choosing a contact rate equal toĉ • α 2 , the negative utility associated with becoming infected Under different parameter sets, the system shows five qualitatively distinct kinds of dynamical behaviors: 1) monotonic convergence to the disease-free equilibriumÎ 0 (number of infected goes to 0); 2) monotonic convergence to theÎ 2 equilibrium; 3) damped oscillation that converges toÎ 2 ; 4) perpetual os.....
Document: • α 1 , the utility associated with choosing a contact rate equal toĉ • α 2 , the negative utility associated with becoming infected Under different parameter sets, the system shows five qualitatively distinct kinds of dynamical behaviors: 1) monotonic convergence to the disease-free equilibriumÎ 0 (number of infected goes to 0); 2) monotonic convergence to theÎ 2 equilibrium; 3) damped oscillation that converges toÎ 2 ; 4) perpetual oscillation; and 5) a collapse, or sudden extinction of the epidemic when the number of infecteds crosses 0. In Fig. 3 and Fig. 4 each of these dynamical classes is demonstrated with small differences in b 0 and ∆, respectively.
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