年龄结构流感模型综合控制策略研究

Abstract

Abstract:

In this paper, we combine the age heterogeneity and the mechanisms of influenza to build an age structured SIR influenza model. Then we introduce two control variables-vaccination and treatment and propose the benefitial functional. Using the Pontryagin maximum principle and Ekland variant principle, we obtain the existence and uniqueness of the optimal control problem. Moreover, we employ forward and backward algorithms to do numerical experiments. Compared the results of many control measures, it is concluded that the combination of vaccination and treatment has the best control effect and furthermore, low-cost strategy is the best. Finally, through comprehensive analysis, vaccination has a best benefit from cost points of view and a combined measure has a best effect from public health perspectives.

Key words: Influenza model, Pontryagin maximum principle, Optimal control, Ekland variant principle

CLC Number:

O232

Yang Junyuan, Zhang Chenlin, Yang Li. Study on Comprehensive Control Strategies of an Age Structured Influenza Model[J].Acta mathematica scientia,Series A, 2024, 44(3): 804-814.

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Study on Comprehensive Control Strategies of an Age Structured Influenza Model

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