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Stochastic Skellam model

机译:随机Skellam模型

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摘要

We consider the dynamics of a biological population described by the Fisher-Kolmogorov Petrovskii-Piskunov (FKPP) equation in the case where the spatial domain consists of alternating favorable and adverse patches whose sizes are distributed randomly. For the one-dimensional case we define a stochastic analogue of the classical critical patch size We address the Issue of persistence of a population and we show that the fraction of the length of favorable segments to the total length is always smaller in the stochastic case than in a periodic arrangement. In this sense, spatial stochasticity favors viability of a population.
机译:在空间域由大小互为随机分布的有利和不利斑块组成的情况下,我们考虑由Fisher-Kolmogorov Petrovskii-Piskunov(FKPP)方程描述的生物种群的动力学。对于一维情况,我们定义了经典临界补丁大小的随机类似物。我们解决了种群的持久性问题,并且我们证明,在随机情况下,有利链段的长度占总长度的比例始终小于定期安排。从这个意义上说,空间随机性有利于人口的生存能力。

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