时变环境下的人口转换
Population switching under a time-varying environment
摘要：
我们研究了在确定性时变环境下随机种群的切换动力学。我们的方法是证明在生态学领域的人口建立的问题。在这里，通过假设一个恒定的移民压力以及一个强大的阿利效应，在确定性水平上，人们得到一个临界人口规模超过该系统的经验建立。值得注意的是，后者已被证明是人口和环境噪声之间的相互作用的强烈影响。我们考虑两个典型的例子环境变化：一个临时的环境变化，和一个随时间变化的环境。通过采用半经典近似，我们计算，指数精度内，在建立概率和平均建立时间的人口的变化，由于环境的变化。我们的分析结果进行了验证，通过使用修改后的Gillespie算法，占显着的时间依赖性反应速率。最后，我们的理论方法也可以用于研究外部变异下基因调控网络的开关动态。
英文摘要：
We examine the switching dynamics of a stochastic population subjected to a deterministically time-varying environment. Our approach is demonstrated in the realm of ecology on a problem of population establishment. Here, by assuming a constant immigration pressure along with a strong Allee effect, at the deterministic level one obtains a critical population size beyond which the system experiences establishment. Notably the latter has been shown to be strongly influenced by the interplay between demographic and environmental noise. We consider two prototypical examples for environmental variations: a temporary environmental change, and a periodically-varying environment. By employing a semi-classical approximation we compute, within exponential accuracy, the change in the establishment probability and mean establishment time of the population, due to the environmental variability. Our analytical results are verified by using a modified Gillespie algorithm which accounts for explicitly time-dependent reaction rates. Finally, our theoretical approach can also be useful in studying switching dynamics in gene regulatory networks under extrinsic variations.
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。
