Optimal Vaccination Strategies based on the Stochastic System Control Theory and Its Application
| Project/Area Number |
25420441
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Control engineering/System engineering
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| Research Institution | Yamaguchi University |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| 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 / 感染症 / 数理モデル / システム制御 / 安定性 / 感染症解析 / 最適ワクチン接種 / 分岐解析 / 感染症伝播モデル / 不規則外乱 / ワクチン接種 / 最適制御 / 数値解析 |
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| 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.
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Report
(4 results)
Research Products
(23 results)
