| Project/Area Number |
26800084
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Foundations of mathematics/Applied mathematics
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| Research Institution | University of Miyazaki |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | パターン形成 / 自己組織化 / 数理モデル |
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| Outline of Final Research Achievements |
In order to understand a variety of phenomena arising in nature and society, mathematical models which describes the phenomena are proposed, and analysis of the model reveals the mechanisms which the complex phenomena originate in. In this study, we treat spatially spontaneous pattern formation produced by biological species. Among them, we focus on a chemotaxis-growth system which describes aggregation pattern formation of biological species which aggregates by using a chemical substance as a signal. Combining theoretical analysis and numerical simulations, we revealed global structure of stationary solutions of the chemotaxis-growth system, which correspond to aggregation patterns. In addition, we revealed a relation between growth terms including the chemotaxis-growht system and patterns.
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