We consider a behavioral SIR epidemic model to describe the action of the public health system aimed at enhanc-ing 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 the double of the ‘period’ of the control, and an alternation of small and large peaks of disease prevalence can be observed.
‘Period doubling’ induced by optimal control in a behavioral SIR epidemic model / Sharbayta, S. S.; Buonomo, B.; D'Onofrio, A.; Abdi, T.. - In: CHAOS, SOLITONS AND FRACTALS. - ISSN 0960-0779. - 161:(2022), pp. 112347-112357. [10.1016/j.chaos.2022.112347]
‘Period doubling’ induced by optimal control in a behavioral SIR epidemic model
Buonomo B.;
2022
Abstract
We consider a behavioral SIR epidemic model to describe the action of the public health system aimed at enhanc-ing 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 the double of the ‘period’ of the control, and an alternation of small and large peaks of disease prevalence can be observed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.