论文标题
时间尺度在不对称相互作用疾病扩散中的作用
The role of time scale in the spreading of asymmetrically interacting diseases
论文作者
论文摘要
自然和社会中的疾病和其他传染现象可以不对称地相互作用，因此可以从另一种中受益，进而类似于捕食者 - 捕集系统。在这里，我们考虑了两个模型，用于与不对称相互作用和不同相关时间尺度相互作用的疾病样动力学。使用均匀混合种群的速率方程，我们表明，相对时间尺度的变化，每个模型的固定流行率和相图的行为不同。我们还详细介绍了观察到瞬时振荡的制度，这种模式是不对称相互作用的固有模式，但在文献中经常被忽略。我们的结果尤其有助于更好地了解疾病动态，并且总体上相互作用的过程，可以为现实世界应用提供有趣的见解，最值得注意的是，事实核对和虚假新闻的动态之间的相互作用。
Diseases and other contagion phenomena in nature and society can interact asymmetrically, such that one can benefit from the other, which in turn impairs the first, in analogy with predator-prey systems. Here, we consider two models for interacting disease-like dynamics with asymmetric interactions and different associated time scales. Using rate equations for homogeneously mixed populations, we show that the stationary prevalences and phase diagrams of each model behave differently with respect to variations of the relative time scales. We also characterize in detail the regime where transient oscillations are observed, a pattern that is inherent to asymmetrical interactions but often ignored in the literature. Our results contribute to a better understanding of disease dynamics in particular, and interacting processes in general, and could provide interesting insights for real-world applications, most notably, the interplay between the dynamics of fact-checked and fake news.
