种群灭绝与薛定谔方程：突变跃迁的解析计算
Extinction of Populations and the Schrödinger Equation: Analytic Calculations for Abrupt Transitions
摘要：
基于量子粒子在均匀引力场作用下的时间无关的薛定谔方程，通过解析计算，研究了空间扩展的非线性系统中的分岔现象.尽管薛定谔方程的线性特征，我们得到的结果有助于理解突然转变的发生，导致生物种群灭绝。结果表示在艾里功能和揭示的行为，细菌在培养皿中，以及大型动物，如啮齿动物移动的景观。
英文摘要：
We study bifurcations in a spatially extended nonlinear system representing population dynamics with the help of analytic calculations based on the time-independent Schrödinger equation for a quantum particle subjected to a uniform gravitational field. Despite the linear character of the Schrödinger equation, the result we obtain helps in the understanding of the onset of abrupt transitions leading to extinction of biological populations. The result is expressed in terms of Airy functions and sheds light on the behavior of bacteria in a Petri dish as well as of large animals such as rodents moving over a landscape.
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。
