Controlled Compartmental Models with Time-Varying Population: Normalization, Viability and Comparison

Florin Avram (), Lorenzo Freddi (), Dan Goreac (), Juan Li () and Junsong Li ()
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Florin Avram: Université de Pau
Lorenzo Freddi: Dipartimento di Scienze Matematiche, Informatiche e Fisiche
Dan Goreac: Shandong University, Weihai
Juan Li: Shandong University, Weihai
Junsong Li: Shandong University, Weihai

Journal of Optimization Theory and Applications, 2023, vol. 198, issue 3, No 6, 1019-1048

Abstract: Abstract This paper focuses on the characterization of viability zones in compartmental models with varying population size, due both to deaths caused by epidemics and to natural demography. This is achieved with the use of viscosity characterizations of viability and extensively illustrated on several models. An example taking into consideration real data is provided. The paper is completed with a viscosity approach to the optimality of minimal (“greedy”) non-pharmaceutical interventions.

Keywords: Compartmental models; Epidemics; Mathematical control; State constraints; Viability; Viscosity solutions; COVID 19; 49L25; 92D30; 49L12; 49K30 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10957-023-02274-5

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