Optimal Vaccination Strategies based on the Stochastic System Control Theory and Its Application

2015 Fiscal Year Final Research Report

• Project/Area Number: 25420441
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Control engineering/System engineering
• Research Institution: Yamaguchi University
• Principal Investigator: Ishikawa Masaaki 山口大学, 大学院理工学研究科, 教授 (30201916)
• Project Period (FY): 2013-04-01 – 2016-03-31
• Keywords: 確率システム / 感染症モデル / 確率最適制御 / 確率分岐 / 確率最大原理 / Four-step スキーム / シミュレーション

Outline of Final Research Achievements

In this research, we have established the stochastic vaccination strategies for infectious diseases. First, taking account of random fluctuations in the infection or the recovery rates caused by the environmental change, we have proposed the stochastic infectious models using the stochastic differential equation. Secondly, we have estabilisheded the stochastic optimal vaccination strategies using the stochastic maximum principle and the four-step scheme. finally, the efficiency of the proposed optimal vaccination strategy is verified by the numerical simulations.

Free Research Field

確率システム理論