2009 Fiscal Year Final Research Report
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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| Keywords | 応用数学 / 微分方程式 / 関数方程式 / 感染症 |
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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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