变化环境中的种群动力学：随机与周期转换
Population Dynamics in a Changing Environment: Random versus Periodic Switching
摘要：
环境的变化对种群的进化有很大的影响。在这里，我们研究了两种菌株的种群动态，一种生长速度略快于另一种，在一个时变的二元环境中竞争资源，该环境由随机或周期性地在丰度和稀缺状态之间切换的承载能力建模。种群动力学的特征是人口统计噪声（出生和死亡事件）与变化的环境相结合。我们阐明的相似性和差异性的演变受到随机和随机变化的环境。重要的是，人口规模分布通常被发现是更广泛的中间和快速随机切换下比周期性变化，这导致在固定概率的随机和周期性切换之间的显着不同的渐近行为。我们还确定了慢应变的固定概率最大的详细条件。
英文摘要：
Environmental changes greatly influence the evolution of populations. Here, we study the dynamics of a population of two strains, one growing slightly faster than the other, competing for resources in a time-varying binary environment modeled by a carrying capacity switching either randomly or periodically between states of abundance and scarcity. The population dynamics is characterized by demographic noise (birth and death events) coupled to a varying environment. We elucidate the similarities and differences of the evolution subject to a stochastically- and periodically-varying environment. Importantly, the population size distribution is generally found to be broader under intermediate and fast random switching than under periodic variations, which results in markedly different asymptotic behaviors between the fixation probability of random and periodic switching. We also determine the detailed conditions under which the fixation probability of the slow strain is maximal.
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