Scholarlink

<p>During the COVID-19 epidemic, episodes of increase-decrease of the number of infected can be observed as repeated waves with different amplitudes. This is the effect of public intervention to contain the disease through non-pharmaceutical measures such as distancing as well as through vaccination strategies. Actually, the experience of COVID-19 is quite paradigmatic and can be applied to any new emerging disease. Thus, specific mathematical efforts to investigate methods and strategies for controlling such diseases are of actual interest in the applied context. In a recent series of papers a specific model has been considered in order to explain the course of the Italian COVID-19 and to design optimal control procedures. In this paper we implement the model by introducing a specific mechanism for the vaccination strategy depending on some parameters that are supposed to be chosen by governmental policy. The optimal control problem is then studied, and its existence is proven. Furthermore, optimality conditions are established, in view of possible use in applied simulations. Since the vaccination mechanism is defined through a Heaviside function our approach is naturally developed within the theory of monotone operators.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Optimal control of epidemics by alternating vaccination strategies

  • 期刊论文

  • 发表日期：

    2025年6月23日

查看全文
  • Viorel Barbu,
  • Mimmo Iannelli,
  • Gabriela Marinoschi

摘要

During the COVID-19 epidemic, episodes of increase-decrease of the number of infected can be observed as repeated waves with different amplitudes. This is the effect of public intervention to contain the disease through non-pharmaceutical measures such as distancing as well as through vaccination strategies. Actually, the experience of COVID-19 is quite paradigmatic and can be applied to any new emerging disease. Thus, specific mathematical efforts to investigate methods and strategies for controlling such diseases are of actual interest in the applied context. In a recent series of papers a specific model has been considered in order to explain the course of the Italian COVID-19 and to design optimal control procedures. In this paper we implement the model by introducing a specific mechanism for the vaccination strategy depending on some parameters that are supposed to be chosen by governmental policy. The optimal control problem is then studied, and its existence is proven. Furthermore, optimality conditions are established, in view of possible use in applied simulations. Since the vaccination mechanism is defined through a Heaviside function our approach is naturally developed within the theory of monotone operators.