一个进化模型中物种生存时间与Bessel分布的联系
On a link between a species survival time in an evolution model and the Bessel distributions
摘要：
我们考虑一个物种进化的随机模型。一个新的物种以λ的速率诞生，一个物种以μ的速率死亡。从给定的分布F中抽取的一个随机数与每个新物种在出生时相关联。每次有死亡事件发生时，被杀死的物种都是适应度最小的物种。我们考虑具有给定适应度f的物种的（随机）生存时间。我们证明了生存时间分布的关键取决于是否f<f_c，f=f_c或f>f_c，其中f_c是一个明确计算的临界适应度。
英文摘要：
We consider a stochastic model for species evolution. A new species is born at rate lambda and a species dies at rate mu. A random number, sampled from a given distribution F, is associated with each new species at the time of birth. Every time there is a death event, the species that is killed is the one with the smallest fitness. We consider the (random) survival time of a species with a given fitness f. We show that the survival time distribution depends crucially on whether f<f_c, f=f_c or f>f_c where f_c is a critical fitness that is computed explicitly.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
