The spreading speeds of disturbance in a nonlocal Fisher equation

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  • 非局所フィッシャー方程式における擾乱の伝播速度

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Abstract

We consider the nonlocal analogue of the Fisher equation ut = μ ∗ u − u + u(1 − u), where μ is a probability distribution. We show that if an initial disturbance extends widely,then the disturbance spreads. Further, we give a formula of the spreading speeds.

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