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

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  • Donadello, Carlotta
  • Nguyen, Thi Nhu Thao
  • Razafison, Ulrich

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.

Suggested Citation

  • Donadello, Carlotta & Nguyen, Thi Nhu Thao & Razafison, Ulrich, 2021. "On the mathematical modeling of vole populations spatial dynamics via transport equations on a graph," Applied Mathematics and Computation, Elsevier, vol. 396(C).
    • Handle: RePEc:eee:apmaco:v:396:y:2021:i:c:s0096300320308389
    DOI: 10.1016/j.amc.2020.125885
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    References listed on IDEAS

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    1. Marilleau, Nicolas & Lang, Christophe & Giraudoux, Patrick, 2018. "Coupling agent-based with equation-based models to study spatially explicit megapopulation dynamics," Ecological Modelling, Elsevier, vol. 384(C), pages 34-42.
    2. Rolf A. Ims & Harry P. Andreassen, 2000. "Spatial synchronization of vole population dynamics by predatory birds," Nature, Nature, vol. 408(6809), pages 194-196, November.
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