论文标题
灾难下的集体行为
Collective behavior under catastrophes
论文作者
论文摘要
我们介绍以下离散时间模型。每个自然数字代表一个生态利基，并以$（0,1）$分配了健身。所有站点在每个离散时间都会同时更新。在任何给定时间，概率$ p $的环境可能是正常的，或者概率$ 1-p $都可能发生灾难。如果环境正常，则每个站点的适应性将被其当前健身和随机数的最大值所取代。如果有灾难，每个地点的适应性将被随机数取代。我们在任何固定时间计算任何有限数量的站点的关节适应性分布。我们还显示了该系统与固定分布的融合。这也是明确计算的。
We introduce the following discrete time model. Each natural number represents an ecological niche and is assigned a fitness in $(0,1)$. All the sites are updated simultaneously at every discrete time. At any given time the environment may be normal with probability $p$ or a catastrophe may occur with probability $1-p$. If the environment is normal the fitness of each site is replaced by the maximum of its current fitness and a random number. If there is a catastrophe the fitness of each site is replaced by a random number. We compute the joint fitness distribution of any finite number of sites at any fixed time. We also show convergence of this system to a stationary distribution. This too is computed explicitly.
