| 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: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
In this research, we studied a reaction-diffusion system that describes the spatiotemporal population dynamics of two competitive species. Individually, for the Lotka-Volterra system with a non-linear diffusion term called the cross diffusion term (the Shigesada-Kawasaki-Teramoto model, 1979), the asymptotic behavior of the steady-state solutions was analyzed as a coefficient of the cross diffusion term tends to infinity. We clarified the global bifurcation structure of the solution for the approximation problem called "the second limit system," for which there had been not many results. This result revealed that the steady-state solution set of the Shigesada-Kawasaki-Teramoto model forms a hook-like curve called a saddle-node bifurcation curve.
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