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

被引：0

作者：

Florin Avram

Lorenzo Freddi

Dan Goreac

Juan Li

Junsong Li

机构：

[1] Université de Pau,Laboratoire de Mathématiques Appliquées

[2] Dipartimento di Scienze Matematiche,School of Mathematics and Statistics

[3] Informatiche e Fisiche,Research Center for Mathematics and Interdisciplinary Sciences

[4] Shandong University,undefined

[5] Weihai,undefined

[6] LAMA,undefined

[7] Univ Gustave Eiffel,undefined

[8] UPEM,undefined

[9] Univ Paris Est Creteil,undefined

[10] CNRS,undefined

[11] Shandong University,undefined

来源：

Journal of Optimization Theory and Applications | 2023年 / 198卷

关键词：

Compartmental models; Epidemics; Mathematical control; State constraints; Viability; Viscosity solutions; COVID 19; 49L25; 92D30; 49L12; 49K30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：1019 / 1048

页数：29

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