Math. Model. Nat. Phenom.
Volume 17, 2022
|Number of page(s)||23|
|Published online||18 August 2022|
Degree-biased advection–diffusion on undirected graphs/networks
Institute of Cross-Disciplinary Physics and Complex Systems, IFISC (UIB-CSIC), 07122 Palma de Mallorca, Spain
* Corresponding author: email@example.com
Accepted: 26 July 2022
There are several phenomena in nature governed by simultaneous or intermittent diffusion and advection processes. Many of these systems are networked by their own nature. Here we propose a degree-biased advection processes to undirected networks. For that purpose we define and study the degree-biased advection operator. We then develop a degree-biased advection-diffusion equation on networks and study its general properties. We give computational evidence of the utility of this new model by studying artificial graphs as well as a real-life patched landscape network in southern Madagascar. In the last case we show that the foraging movement of the species L. catta in this environment occurs mainly in a diffusive way with important contributions of advective motions in agreement with previous empirical observations.
Mathematics Subject Classification: 05C50 / 05C21 / 05C90 / 15A18 / 47N60 / 92B99
Key words: Graph theory / advection–diffusion / complex networks / landscape networks
© The authors. Published by EDP Sciences, 2022
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