| 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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| 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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