140 citations · 322 across the 11 of their papers we have counts for
12 papers
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…
A Damage-Driven Model for Duchenne Muscular Dystrophy: Early-Stage Dynamics and Invasion Thresholds
Gaetana Gambino, Francesco Gargano, Alessandra Rizzo +1
We introduce a spatially extended mathematical model for Duchenne muscular dystrophy based on a damage-driven paradigm, in which immune recruitment is triggered by tissue injury. T…
Nonclassical Turing instabilities induced by superdiffusive transport in FitzHugh-Nagumo dynamics
Rossella Rizzo, Gaetana Gambino, Vincenzo Sciacca +1
We investigate diffusion-driven instabilities in a FitzHugh-Nagumo reaction-diffusion system with superdiffusive transport, modeled by fractional Laplacian operators with different…
Effects of cross-diffusion on Turing patterns in a reaction-diffusion Schnakenberg model
G. Gambino, S. Lupo, M. Sammartino
In this paper the Turing pattern formation mechanism of a two component reaction-diffusion system modeling the Schnakenberg chemical reaction coupled to linear cross-diffusion term…
Regular and Singular Pulse and Front Solutions and Possible Isochronous Behavior in the Short-Pulse Equation: Phase-Plane, Multi-Infinite Series and Variational Approaches
G. Gambino, U. Tanriver, P. Guha +2
In this paper we employ three recent analytical approaches to investigate the possible classes of traveling wave solutions of some members of a family of so-called short-pulse equa…
Turing Instability and Pattern Formation in an Activator-Inhibitor System with Nonlinear Diffusion
G. Gambino, M. C. Lombardo, M. Sammartino
In this work we study the effect of density dependent nonlinear diffusion on pattern formation in the Lengyel--Epstein system. Via the linear stability analysis we determine both t…
Turing pattern formation in the Brusselator system with nonlinear diffusion
G. Gambino, M. C. Lombardo, M. Sammartino +1
In this work we investigate the effect of density dependent nonlinear diffusion on pattern formation in the Brusselator system. Through linear stability analysis of the basic solut…
Smooth and non-smooth traveling wave solutions of some generalized Camassa-Holm equations
T. Rehman, G. Gambino, S. Roy Choudhury
In this paper we employ two recent analytical approaches to investigate the possible classes of traveling wave solutions of some members of a recently-derived integrable family of…
Pattern formation driven by cross--diffusion in a 2D domain
G. Gambino, M. C. Lombardo, M. Sammartino
In this work we investigate the process of pattern formation in a two dimensional domain for a reaction-diffusion system with nonlinear diffusion terms and the competitive Lotka-Vo…
European Option Pricing with Transaction Costs and Stochastic Volatility: an Asymptotic Analysis
R. E. Caflisch, G. Gambino, M. Sammartino +1
In this paper the valuation problem of a European call option in presence of both stochastic volatility and transaction costs is considered. In the limit of small transaction costs…
Convergent Analytic Solutions for Homoclinic Orbits in Reversible and Non-reversible Systems
R. Choudhury, G. Gambino
In this paper, convergent, multi-infinite, series solutions are derived for the homoclinic orbits of a canonical fourth-order ODE system, in both reversible and non-reversible case…
Post-Double Hopf Bifurcation Dynamics and Adaptive Synchronization of a Hyperchaotic System
Gaetana Gambino, Sudipto R. Choudhury
In this paper a four-dimensional hyperchaotic system with only one equilibrium is considered and its double Hopf bifurcations are investigated. The general post-bifurcation and sta…