6 papers
Pattern formation: reactivity is not necessary for chemotaxis--driven instabilities
Angela Monti
A classical result by Neubert, Caswell and Murray states that reactivity of a spatially homogeneous equilibrium is a necessary condition for diffusion-driven (Turing) instability.…
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…
Exponential Consensus through Z-Control in High-Order Multi-Agent Systems
Angela Monti, Fasma Diele
In this work, we introduce a Z-control strategy for multi-agent systems of arbitrary order, aimed at driving the agents toward consensus in the highest-order observable state. The…
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…
Hierarchical clustering and dimensional reduction for optimal control of large-scale agent-based models
Angela Monti, Fasma Diele, Dante Kalise
Agent-based models (ABMs) provide a powerful framework to describe complex systems composed of interacting entities, capable of producing emergent collective behaviours such as con…
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…