We study the role of the finite number of units in a three state model with a growing population. The model presents two attractors, namely a fixed point and a limit cycle. In the mean field approximation, it has been shown that there is a bistability region for which both attractors are stable. We observe that, contrary to constant population models, the bistability is preserved in the presence of finite number fluctuations.

中文翻译：

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人口增长的三态模型中的有限数波动

我们研究了人口增长的三态模型中有限数量单位的作用。该模型显示了两个吸引子，即固定点和极限环。在平均场近似中，已经显示出存在两个吸引子都稳定的双稳态区域。我们观察到，与恒定人口模型相反，双稳态在存在有限数量波动的情况下得以保留。