Fluid approximation results provide powerful methods for scalable analysis of models of population dynamics with large numbers of discrete states and have seen wide-ranging applications in modelling biological and computer-based systems and model checking. However, the applicability of these methods relies on assumptions that are not easily met in a number of modelling scenarios. This article focuses on one particular class of scenarios in which rapid information propagation in the system is considered. In particular, we study the case where changes in population dynamics are induced by information about the environment being communicated between components of the population via broadcast communication. We see how existing hybrid fluid limit results, resulting in piecewise deterministic Markov processes, can be adapted to such models. Finally, we propose heuristic constructions for extracting the mean behaviour from the resulting approximations without the need to simulate individual trajectories.

中文翻译：

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基于流体近似的模式转换种群动态分析

流体近似结果为具有大量离散状态的种群动力学模型的可扩展分析提供了强大的方法，并在生物和基于计算机的系统建模和模型检查中得到了广泛的应用。然而，这些方法的适用性依赖于在许多建模场景中不容易满足的假设。本文重点关注考虑系统中快速信息传播的一类特定场景。特别是，我们研究了人口动态变化是由通过广播通信在人口组成部分之间传播的环境信息引起的。我们看到现有的混合流体极限结果，导致分段确定性马尔可夫过程，如何适应此类模型。最后，