On the mathematical modeling of vole populations spatial dynamics via transport equations on a graph

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. (C) 2020 Elsevier Inc. All rights reserved.