The Infection Control based on the Stochastic Optimal Control Theory and Its Application
| Project/Area Number |
22560448
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Control engineering
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| Research Institution | Yamaguchi University |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | 感染症モデル / 確率システム / ワクチン戦略 / 確率最適制御 / 確率最大原理 / 分岐 / シミュレーション / 確率最適制御問題 / 最適ワクチン接種戦略 / ４ステップスキーム / 確率２点境界値問題 / 確率2点境界値問題 / 確率SIRモデル / ADI法 / 時間空間正規性白色雑音 / 確率反応拡散方程 / ワクチン接種 / 基本再生産数 |
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| Research Abstract |
In this research, we have established the stochastic vaccination model which describes the spread of infection taking account of random fluctuations in the infection or the death rates caused by the environmental change and have clarified the influence of the random noise on the spread of infection. Moreover, we have constructed the stochastic optimal vaccination system which minimizes the side-effect and the cost of vaccination and the infected population. The efficiency of the proposed optimal vaccination strategy is verified by the numerical simulations.
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Report
(4 results)
Research Products
(57 results)
