Peer-reviewedCC BYElectronic Journal of Differential Equations
Nonlocal mechanisms leading to instability in dry-land vegetation models
- 1Univ. of Oviedo, Spain
Abstract
We consider a system of partial differential equations arising in vegetation dynamics. Roots interactions are modeled through nonlocal reaction terms which, in the limit of negligible roots extension, collapse to local reaction terms. We study, by means of linear stability analysis and computational simulation, the emergence of pattern formation due to both Turing instability and nonlocal effects. We show that, in the physical reasonable parameter range, interchangeability of local and nonlocal models is not justified, since their corresponding patterns differ substantially.
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BibTeX
@article{galiano2026nonlocal,
title = {{Nonlocal mechanisms leading to instability in dry-land vegetation models}},
author = {Gonzalo Galiano and Julian Velasco},
journal = {Electronic Journal of Differential Equations},
year = {2026},
month = oct,
url = {http://ejde.math.txstate.edu/Volumes/2026/82/abstr.html},
note = {CC BY},
}
RIS
TY - JOUR
TI - Nonlocal mechanisms leading to instability in dry-land vegetation models
AU - Gonzalo Galiano
AU - Julian Velasco
PY - 2026
DA - 2026/10/23
JO - Electronic Journal of Differential Equations
UR - http://ejde.math.txstate.edu/Volumes/2026/82/abstr.html
AB - We consider a system of partial differential equations arising in vegetation dynamics. Roots interactions are modeled through nonlocal reaction terms which, in the limit of negligible roots extension, collapse to local reaction terms. We study, by means of linear stability analysis and computational simulation, the emergence of pattern formation due to both Turing instability and nonlocal effects. We show that, in the physical reasonable parameter range, interchangeability of local and nonlocal models is not justified, since their corresponding patterns differ substantially.
SN - 1072-6691
ER -