| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Research Abstract |
In this study, we consider the existence of positive solutions of nonlinear elliptic problems with nonlinear boundary conditions arising in population dynamics, by means of bifurcation analysis. The nonlinearity shows logistic nonlinearity combined with the power nonlinearity which means the incoming flux of population on the boundary. We determine the global behavior of bifurcation components of the positive solutions according to values of a parameter, and by this, we can also discuss the uniqueness and multiplicity of the positive solutions in some range of the parameter. The spatial heterogeneity of the indefinite coefficient equipped with the problem plays an important role.
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