| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Outline of Final Research Achievements |
We study a migration selction model for the solution of gene frequency, which is described by a spatially inhomogeneous reaction diffusion equation. We deal with this equation in one dimensional interval and assume that the diffusion coefficient is very small. We have constructed a steady state with many layers. This steady state is linearly stable. If there is any other nontrivial steady state `u'except for this layered steady-state, u stays close to a solution 0. Moreover, under some condition concerning to spatial inhomogeniety, this layered steady state is unique. We also study a migration selection model with integral term, and have succesfully constructed a layerd soution under the condition where diffusion term is very small.
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