In this paper we present a study on pulse noise sources characterized by sub- and super-Poisson statistics. We make a comparison with their uncorrelated counterpart. i.e. pulse noise with Poisson statistics, while showing that the correlation properties of sub- and super-Poisson noise sources can be efficiently applied to population dynamics. Specifically, we consider a termite population, described by a Langevin equation in the presence of a pulse noise source, and we study its dynamics and stability properties for two models. The first one describes a population of several colonies in a new territory with adverse environmental conditions. The second one considers the development of a single colony under the influence of attacks by predators.

中文翻译：

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次泊松和超级泊松噪声源在人口动态中的作用

在本文中，我们对以亚泊松和超泊松统计为特征的脉冲噪声源进行了研究。我们将其不相关的对象进行比较。即具有Poisson统计量的脉冲噪声，同时表明子和超级Poisson噪声源的相关特性可以有效地应用于人口动态。具体来说，我们考虑在脉冲噪声源存在的情况下由Langevin方程描述的白蚁种群，并针对两个模型研究其动力学和稳定性。第一个描述环境恶劣的新领土上几个殖民地的人口。第二个考虑了在掠食者攻击下单个殖民地的发展。