| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Outline of Final Research Achievements |
This research studied the global structure of stationary solutions to the Lotka-Volterra system with nonlinear diffusion. Among other things, this research focused on the limiting system as the nonlinear diffusion term tends to infinity, which characterizes the limiting behavior of stationary solutions, and derived the curve of the set of non-constant solutions to the limiting system (the global bifurcation curve) in a functional space. As an example of results, this research proved that an element of unknown functions blows up as a bifurcation parameter approaches the second eigenvalue of the Laplace operator.
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