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

Carlotta Donadello, Thi Nhu Thao Nguyen and Ulrich Razafison

Applied Mathematics and Computation, 2021, vol. 396, issue C

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.

Keywords: Age-structured population models; Transport equations; Dispersal; Finite-volume schemes; Numerical simulations (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:396:y:2021:i:c:s0096300320308389

DOI: 10.1016/j.amc.2020.125885

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