In this paper, we propose two models to describe the spatial dynamic of vole populations together with their finite volumes discretization. The models are based on age-structured transport equations set on a graph. The local evolution of the population occurs at the nodes, while transmission between nodes represents spatial dynamics and is a gradual process in the first model, an instantaneous one in the second. The parameters in the reproduction and mortality rates allows to reproduce the characteristics of different landscapes.

中文翻译：

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通过图上的输运方程对田鼠种群空间动态的数学建模

在本文中，我们提出了两种模型来描述田鼠种群的空间动态及其有限体积离散化。这些模型基于在图上设置的年龄结构传输方程。种群的局部演化发生在节点，而节点之间的传输代表空间动态，在第一个模型中是一个渐进的过程，在第二个模型中是瞬时的。繁殖和死亡率中的参数允许重现不同景观的特征。