| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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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| Outline of Final Research Achievements |
The major result of this research consists of the following two parts. (1) We investigate the traveling waves describing the process that the predator invades the region already occupied by the prey, and prove the existence of such traveling waves with any positive speed for a diffusive Lotka-Volterra predator-prey model with no predator diffusion. Our mathematical tool is the shooting argument in the phase space. (2) We also discuss the effect of interspecific competition on the dynamics of neutral genetic diversity in a range-expanding population using a traveling wave solution for a diffusive Lotka-Volterra competition model. Our analytical and numerical results show that the genetic diversity in the invasive population is affected by the interspecific competition rate. Furthermore, we show numerically that the analytical results on the speeds of traveling waves obtained previously, can still be improved.
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