Behavioral-feedback SIR epidemic model: analysis and control
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908540433596416 |
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| author | Alutto, Martina Cianfanelli, Leonardo Como, Giacomo Fagnani, Fabio Parise, Francesca |
| author_facet | Alutto, Martina Cianfanelli, Leonardo Como, Giacomo Fagnani, Fabio Parise, Francesca |
| contents | This paper investigates a behavioral-feedback SIR model in which the infection rate adapts dynamically based on the fractions of susceptible and infected individuals. We introduce an invariant of motion and we characterize the peak of infection. We further examine the system under a threshold constraint on the infection level. Based on this analysis, we formulate an optimal control problem to keep the infection curve below a healthcare capacity threshold while minimizing the economic cost. For this problem, we study a feasible strategy that involves applying the minimal necessary restrictions to meet the capacity constraint and characterize the corresponding cost. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_12257 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Behavioral-feedback SIR epidemic model: analysis and control Alutto, Martina Cianfanelli, Leonardo Como, Giacomo Fagnani, Fabio Parise, Francesca Populations and Evolution Systems and Control Dynamical Systems This paper investigates a behavioral-feedback SIR model in which the infection rate adapts dynamically based on the fractions of susceptible and infected individuals. We introduce an invariant of motion and we characterize the peak of infection. We further examine the system under a threshold constraint on the infection level. Based on this analysis, we formulate an optimal control problem to keep the infection curve below a healthcare capacity threshold while minimizing the economic cost. For this problem, we study a feasible strategy that involves applying the minimal necessary restrictions to meet the capacity constraint and characterize the corresponding cost. |
| title | Behavioral-feedback SIR epidemic model: analysis and control |
| topic | Populations and Evolution Systems and Control Dynamical Systems |
| url | https://arxiv.org/abs/2509.12257 |