3 citations · 6 across the 4 of their papers we have counts for
5 papers
Slow motion for the time-fractional Allen-Cahn equation with linear and nonlinear diffusion
Davide Cusseddu, Raffaele Folino, Luis Fernando López Ríos
We study the slow motion of phase transition layers for a time-fractional Allen--Cahn equation with a Caputo time derivative of order . We show that the fractional memor…
On a phenotype-structured Shigesada--Kawasaki--Teramoto model: Turing instability and pattern selection under fast phenotype switching
Davide Cusseddu, Gaetana Gambino, Tommaso Lorenzi
The Shigesada-Kawasaki-Teramoto (SKT) model has become a classical modelling framework for studying spatial segregation and cross-diffusion-driven pattern formation in competing po…
Reaction-diffusion systems from kinetic models for bacterial communities on a leaf surface
Marzia Bisi, Davide Cusseddu, Ana Jacinta Soares +1
Many mathematical models for biological phenomena, such as the spread of diseases, are based on reaction-diffusion equations for densities of interacting cell populations. We prese…
Pattern formation of bulk-surface reaction-diffusion systems in a ball
Edgardo Villar-Sepúlveda, Alan R. Champneys, Davide Cusseddu +1
Weakly nonlinear amplitude equations are derived for the onset of spatially extended patterns on a general class of n-component bulk-surface reaction-diffusion systems in a ball, u…
Numerical investigations of the bulk-surface wave pinning model
Davide Cusseddu, Anotida Madzvamuse
The bulk-surface wave pinning model is a reaction-diffusion system for studying cell polarisation. It is constituted by a surface reaction-diffusion equation, coupled to a bulk dif…