Asymptotic behavior of nonlinear equations in mathematical biology
| Project/Area Number |
26800066
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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 |
Mathematical analysis
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| Research Institution | Tokyo University of Science (2015-2017)
The University of Tokyo (2014) |
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Principal Investigator |
Enatsu Yoichi 東京理科大学, 理学部第一部応用数学科, 助教 (90726910)
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 微分方程式 / 安定性 / 感染症モデル |
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| Outline of Final Research Achievements |
We obtained a several results for the asymptotic behavior of epidemiological models with delays characterizing disease transmission by infected individuals.
We did not only construct a generalized model incorporating immunity loss of recovered individuals, infection age and geographical spread of infectious diseases, but also established conditions under which each of a disease-free equilibrium and an endemic equilibrium is globally asymptotically stable. Our methods are also applied to analyze the dynamical behavior of a virus model with cell-mediated, humoral immune responses. In addition, in order to investigate the relationship between the life schedules of individuals and population size, we proposed equations on adaptive life strategies in r/K selection where density effects are absent or present. Our theoretical results indicate that the diversity of life strategies arises due to the effects of density and internal stochasticity.
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Report
(5 results)
Research Products
(22 results)
