| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
Reaction-diffusion systems are mathematical models describing the dynamics of the population densities of particles which appear, disappear and interact each other. Numerical simulations suggest that various dynamic patterns of the population densities appear in reaction-diffusion systems. However, this suggestion has not been proved completely, and thus the theories on reaction-diffusion systems have not been well developed yet.
Our objectives is to clarify how the following two dynamic patterns are generated in reaction-diffusion systems: the pattern with a corner layer; the stairs-like pattern every step of which moves forward with a different speed from each other. In the present investigation we prepare some basic theories which will be useful for the construction and analysis of asymptotic solutions which approximate to those two patterns.
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