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math.NA2026
Turing-region preservation in matrix-oriented splitting methods for reaction-diffusion systems
Angela Monti, Fasma Diele, Carmela Marangi
We develop matrix-oriented formulations of first-order splitting integrators for two-species reaction-diffusion systems on 2D domains, using the Gierer-Meinhardt system as a benchm…
math.NA2025
Transient Instability and Patterns of Reactivity in Diffusive-Chemotaxis Soil Carbon Dynamics
Fasma Diele, Andrew L. Krause, Deborah Lacitignola +3
We study pattern formation in a chemotaxis model of bacteria and soil carbon dynamics as an example system where transient dynamics can give rise to pattern formation outside of Tu…
math.NA2024
Patterns in soil organic carbon dynamics: integrating microbial activity, chemotaxis and data-driven approaches
Angela Monti, Fasma Diele, Deborah Lacitignola +1
Models of soil organic carbon (SOC) frequently overlook the effects of spatial dimensions and microbiological activities. In this paper, we focus on two reaction-diffusion chemotax…