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原文連結
論文資訊
- 類型：已發表論文
- 日期：2015
摘要
We described the first passage time distribution associated to the 隨機 演化 from an unstable uniform state to a patterned one (吸引子 of the system), when the time 演化 is given by an integro-differential equation describing a 族群 model. In order to obtain analytical results we used the 隨機 Path Perturbation Approach introducing a minimum coupling approximation into the 非線性 dynamics, and a 隨機 multiscale perturbation expansion. We show that the 隨機 multiscale perturbation is a necessary tool to handle other problems like: 非線性 instabilities and multiplicative 隨機 partial differential equations. A small noise parameter was introduced to define the random escape of the 隨機 field. We carried out 蒙地卡羅 simulations in a non-local Fisher like equation, to show the agreement with our theoretical predictions.
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