| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2021: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2020: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
We studied the model of gene frequency introduced by Nagylaki in population genetics. This model is expressed using the reaction-diffusion equation, and the coefficient g(x) representing the spatial dependence of the nonlinear term is assumed to change sign. Specifically, the nonlinear term is g(x)u^2 (1-u). Two conjectures about the number of solutions of Lou-Nagylaki have been resolved negatively. The results were announced to Rapporteur (2020) and Rapporteur-Su (2020).
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