62 citations · 342 across the 18 of their papers we have counts for
4 papers · 1 filter
Noise reduction in coarse bifurcation analysis of stochastic agent-based models: an example of consumer lock-in
Daniele Avitabile, Rebecca Hoyle, Giovanni Samaey
We investigate coarse equilibrium states of a fine-scale, stochastic agent-based model of consumer lock-in in a duopolistic market. In the model, agents decide on their next purcha…
Stripe to spot transition in a plant root hair initiation model
V. F. Breña-Medina, D. Avitabile, A. R. Champneys +1
A generalised Schnakenberg reaction-diffusion system with source and loss terms and a spatially dependent coefficient of the nonlinear term is studied both numerically and analytic…
Localised auxin peaks in concentration-based transport models of the shoot apical meristem
Delphine Draelants, Daniele Avitabile, Wim Vanroose
We study the formation of auxin peaks in a generic class of concentration-based auxin transport models, posed on static plant tissues. Using standard asymptotic analysis we prove t…
Snakes and ladders in an inhomogeneous neural field model
Daniele Avitabile, Helmut Schmidt
Continuous neural field models with inhomogeneous synaptic connectivities are known to support traveling fronts as well as stable bumps of localized activity. We analyze stationary…