[00205] `Period doubling' induced by optimal control in a behavioral SIR epidemic model.
Session Time & Room : 2E (Aug.22, 17:40-19:20) @A201
Type : Contributed Talk
Abstract : We consider a behavioral SIR epidemic model to describe the action of the public health system aimed at
enhancing the social distancing during an epidemic outbreak. An optimal control problem is proposed
where the control acts in a specific way on the contact rate. We show that the optimal control of social
distancing is able to generate a period doubling–like phenomenon. Namely, the ‘period’ of the prevalence is
double the ‘period’ of the control, and an alternation of small and large peaks of disease prevalence can be
observed.
