ABSTRACT Modelling the dynamics of evolutionary competing species on a physical grid is a challenging modelling problem. This paper presents a novel modelling approach for synthesizing evolutionary dynamics of competing species using a spatial game perspective. This modelling approach describes the movement of players (‘species’ in our context) across a lattice. The model is based on a payoff function which controls the move likelihood and direction of the players (‘predators’ and ‘preys’). Using simulated results, the paper provides a comparison between the spatial game model and an existing predator-prey dynamic model. Finally, a case study is performed to illustrate the application of this formalism and validate the model.

中文翻译：

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使用空间游戏来模拟动态进化系统

摘要 在物理网格上对进化竞争物种的动力学进行建模是一个具有挑战性的建模问题。本文提出了一种新的建模方法，用于使用空间博弈的视角来综合竞争物种的进化动态。这种建模方法描述了玩家（在我们的上下文中为“物种”）在格子上的移动。该模型基于控制玩家（“捕食者”和“猎物”）移动可能性和方向的收益函数。使用模拟结果，本文提供了空间博弈模型与现有捕食者-猎物动态模型之间的比较。最后，通过一个案例研究来说明这种形式主义的应用并验证模型。