16 citations · 33 across the 18 of their papers we have counts for
9 papers · 1 filter
Singular limit and convergence rate via projection method in a model for plant-growth dynamics with autotoxicity
Jeff Morgan, Cinzia Soresina, Bao Quoc Tang +1
We investigate a fast-reaction--diffusion system modelling the effect of autotoxicity on plant-growth dynamics, in which the fast-reaction terms are based on the dichotomy between…
Fractional Dissipative PDEs
Franz Achleitner, Goro Akagi, Christian Kuehn +4
In this chapter we provide an introduction to fractional dissipative partial differential equations (PDEs) with a focus on trying to understand their dynamics. The class of PDEs we…
Fast-reaction limits for predator--prey reaction--diffusion systems: improved convergence
Cinzia Soresina, Quoc Bao Tang, Bao Ngoc Tran
The fast-reaction limit for reaction--diffusion systems modelling predator--prey interactions is investigated. In the considered model, predators exist in two possible states, name…
A chemotaxis reaction-diffusion model for Multiple Sclerosis with Allee effect
Marzia Bisi, Maria Groppi, Giorgio Martalò +1
In this paper, we study a modification of the mathematical model describing inflammation and demyelination patterns in the brain caused by Multiple Sclerosis proposed in [Lombardo…
Hopf bifurcations in the full SKT model and where to find them
Cinzia Soresina
In this paper, we consider the Shigesada-Kawasaki-Teramoto (SKT) model, which presents cross-diffusion terms describing competition pressure effects. Even though the reaction part…
Numerical continuation for fractional PDEs: sharp teeth and bloated snakes
Noémie Ehstand, Christian Kuehn, Cinzia Soresina
Partial differential equations (PDEs) involving fractional Laplace operators have been increasingly used to model non-local diffusion processes and are actively investigated using…
Numerical continuation for a fast-reaction system and its cross-diffusion limit
Christian Kuehn, Cinzia Soresina
In this paper we investigate the bifurcation structure of the triangular SKT model in the weak competition regime and of the corresponding fast-reaction system in 1D and 2D domains…
On the influence of cross-diffusion in pattern formation
Maxime Breden, Christian Kuehn, Cinzia Soresina
In this paper we consider the Shigesada-Kawasaki-Teramoto (SKT) model to account for stable inhomogeneous steady states exhibiting spatial segregation, which describe a situation o…
About reaction-diffusion systems involving the Holling-type II and the Beddington-DeAngelis functional responses for predator-prey models
Fiammetta Conforto, Laurent Desvillettes, Cinzia Soresina
We consider in this paper a microscopic model (that is, a system of three reaction-diffusion equations) incorporating the dynamics of handling and searching predators, and show tha…