15 citations · 26 across the 8 of their papers we have counts for
4 papers · 1 filter
Numerical simulations of the Gatenby-Gawlinski model with heterogeneous acid diffusion in one space dimension
Chiara Simeoni, Elisa Scanu, Donato Pera +1
In this work, we introduce a variant of the Gatenby-Gawlinski model for acid-mediated tumor invasion in the one-dimensional experimental setting, accounting for heterogeneous diffu…
Spectral stability of traveling fronts for nonlinear hyperbolic equations of bistable type
Corrado Lattanzio, Corrado Mascia, Ramón G. Plaza +1
This paper addresses the existence and spectral stability of traveling fronts for nonlinear hyperbolic equations with a positive "damping" term and a reaction function of bistable…
Analytical and numerical investigation of traveling waves for the Allen-Cahn model with relaxation
Corrado Lattanzio, Corrado Mascia, Ramon G. Plaza +1
A modification of the parabolic Allen-Cahn equation, determined by the substitution of Fick's diffusion law with a relaxation relation of Cattaneo-Maxwell type, is considered. The…
A chemotactic model for interaction of antagonistic microflora colonies: front asymptotics and numerical simulations
Carlos Malaga, Antonmaria Minzoni, Ramon G. Plaza +1
This paper studies a two-dimensional chemotactic model for two species in which one of them produces a chemo-repellent for the other. It is shown asymptotically and numerically how…