2012 Fiscal Year Final Research Report
A mathematical study on structured ecosystem models using Lotka-Volterra equations
| Project/Area Number |
23840041
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | University of Miyazaki (2012)
Meiji University (2011) |
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Principal Investigator |
KON Ryusuke 宮崎大学, 工学部, 准教授 (10345811)
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| Project Period (FY) |
2011 – 2012
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| Keywords | Leslie行列 / 基本再生産数 / Lotka-Volterra方程式 / 構造化生態系モデル / 構造化個体群モデル / 周期昆虫 / 差分方程式 / 数理モデル |
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| Research Abstract |
The traditional ecosystem models studied to explain a pattern of population dynamics usually neglect internal structures such as age-structure and stage-structure. Such traditional ecosystem models cannot capture an essence of population dynamics caused by internal structure. This study focused on ecosystem models taking account of discrete age-structure that can be approximated by Lotka-Volterra equations, and revealed the features of their dynamics mathematically.
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