3 papers
nlin.PS2026
Vegetation pattern formation induced by local growth outpacing susceptibility to non-local competition
Jelle van der Voort, Ricardo Martinez-Garcia, Arjen Doelman
In this work, we present and analyze a general framework for vegetation dynamics in arid and semi-arid ecosystems in which non-local interactions are purely competitive. The genera…
q-bio.PE2026
Fixation probabilities for multi-allele Moran dynamics with weak selection
Ian Braga, Lucas Wardil, Ricardo Martinez-Garcia
Fixation probabilities are essential for characterizing stochastic evolutionary dynamics, but analytical results remain limited mainly to systems with two competing types. We devel…
math.AP2026
Extinction and persistence criteria in non-local Klausmeier model of vegetation dynamics on flat landscapes
Maciej Tadej, Ricardo Martinez-Garcia, Michael Hecht
This paper investigates the dynamics of vegetation patterns in water-limited ecosystems using a generalized Klausmeier model that incorporates non-local plant dispersal within a fi…