Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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Outline of Final Research Achievements |
The existence and stability of localized stationary solutions in a 3-component reaction-diffusion system in R or RxR is clarified, from which we find that there exist the following three types of destabilization: (1) drift bifurcation, (2) Hopf bifurcation and (3) saddle-node bifurcation. In neighborhoods of single or double bifurcation points, reduced ODE systems are given by using center manifold reduction procedure. These coefficients of the ODE systems are determined correctly. As an application of it, the dynamics of the interaction between bifurcated solutions and heterogeneity in the media are also considered.
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