Qualitative theory of differential equations describing dynamics of infectious disease
| Project/Area Number |
18540122
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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 |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Okayama University |
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Principal Investigator |
SASAKI Toru Okayama University, 大学院・環境学研究科, 准教授 (20260664)
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| Co-Investigator(Kenkyū-buntansha) |
KAJIWARA Tsuyoshi 岡山大学, 大学院・環境学研究科, 教授 (50169447)
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| Project Period (FY) |
2006 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥2,750,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥450,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2007: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2006: ¥800,000 (Direct Cost: ¥800,000)
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| Keywords | 応用数学 / 微分方程式 / 関数方程式 / 感染症 / 応用解析 / 疫学 / 数理モデル / 微分方程式論 / 関数方程式論 / 免疫学 / 生態学 / 免疫 / 定性理論 |
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| Research Abstract |
We obtained some results on qualitative properties of differential equation models describing the dynamics of infectious agents in a host. Here we dealt with the interaction among viruses, target cells, infected cells, and immunity. We showed for some models that the interior equilibrium, which corresponds to the infected state, is, under some conditions, globally asymptotically stable. In this connection, we considered some mathematical models of immunity, and established some properties of systems of differential equations describing autoimmunity.
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Report
(6 results)
Research Products
(32 results)
