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Optimal Control of Age-Structured SIR Epidemic Modelwith Vaccination and Treatment(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2019年01期
Page:
28-
Research Field:
·数学·
Publishing date:

Info

Title:
Optimal Control of Age-Structured SIR Epidemic Modelwith Vaccination and Treatment
Author(s):
Guo Zhongkai1; 2; Ren Qiuyan1; 2; Li Jiansheng2
(1.College of Electrical and Information Engineering,Lanzhou University of Technology,Lanzhou 730050,China)(2.College of Technology and Engineering,Lanzhou University of Technology,Lanzhou 730050,China)
Keywords:
age-structured; epidemic; optimal control; Ekeland’s variational principle
PACS:
O157.13; Q141
DOI:
10.3969/j.issn.1001-4616.2019.01.006
Abstract:
This article investigates an optimal control problem with vaccination and treatment for SIR epidemic model with age-structured infected. Uniqueness of non-negative solutions to the model and the continuous dependence of solution on control variables are proved by using the Banach contraction mapping principle and Gronwall’s lemma. Necessary optimality conditions of vaccination and treatment are derived by the use of tangent-normal cone technique. Existence of unique optimal control of vaccination and treatment is verified via Ekeland’s variational principle.

References:

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Last Update: 2019-03-30