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Journal Articles Applied Mathematics and Computation Year : 2021

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

Abstract

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.
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Dates and versions

hal-02908168 , version 1 (28-07-2020)
hal-02908168 , version 2 (14-01-2021)

Identifiers

  • HAL Id : hal-02908168 , version 1

Cite

Carlotta Donadello, Thi Nhu Thao Nguyen, Ulrich Razafison. On the mathematical modeling of vole populations spatial dynamics via transport equations on a graph. Applied Mathematics and Computation, 2021, 396. ⟨hal-02908168v1⟩
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