DIFFUSION ANALYSIS AND STATIONARY DISTRIBUTION OF THE 2-SPECIES LOTTERY COMPETITION MODEL
DIFFUSION ANALYSIS AND STATIONARY DISTRIBUTION OF THE 2-SPECIES LOTTERY COMPETITION MODEL
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DOI：
10.1016/0040-5809(89)90033-6
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发表时间：
1989-12-01
影响因子：
1.4
通讯作者：
CHESSON, PL
中科院分区：
文献类型：
--
作者：
HATFIELD, JS;CHESSON, PL
彩票模型是一种随机种群模型，其中青少年竞争空间。例子包括定居生物，例如森林中的树木和海洋底栖群落的成员。该模型的行为似乎具有其他类型的随机竞争模型的特征。在一个有两个物种的群落中，先前已经证明，如果成虫死亡率较小且环境变化较大，则该物种的共存是可能的。 通过假设出生率和死亡率是随机变量来纳入环境变化。共存和竞争排斥的复杂条件已在其他地方导出。在本文中，通过使用扩散近似技术找到了简单且易于解释的条件。给出了平稳分布以及总体波动的均值和方差的公式。平稳分布的形状允许评估共存的稳定性。
The lottery model is a stochastic population model in which juveniles compete for space. Examples include sedentary organisms such as trees in a forest and members of marine benthic communities. The behavior of this model appears to be characteristic of that found on other sorts of stochastic competition models. In a community with two species, it was previously demonstrated that coexistence of the species is possible if adult death rates are small and environmental variation is large. Environmental variation is incorporated by assuming that the birth rates and death rates are random variables. Complicated conditions for coexistence and competitive exclusion have been derived elsewhere. In this paper, simple and easily interpreted conditions are found by using the technique of diffusion approximation. Formulae are given for the stationary distribution and means and variances of population fluctuations. The shape of the stationary distribution allows the stability of the coexistence to be evaluated.