16 citations · 33 across the 18 of their papers we have counts for
20 papers
Constructing far-from-equilibrium patterns in a cross-diffusion vegetation-autotoxicity model
Annalisa Iuorio, Cinzia Soresina, Frits Veerman
Using geometric singular perturbation theory, we construct stationary, periodic, front-type far-from-equilibrium patterns in a cross-diffusion model for plant growth under the infl…
SEIR models with host heterogeneity: theoretical aspects and applications to seasonal influenza dynamics
Tamás Tekeli, Andrea Pugliese, Cinzia Soresina
Population heterogeneity is a key factor in epidemic dynamics, influencing both transmission and final epidemic size. While heterogeneity is often modelled through age structure, s…
A model for mosquito-borne epidemic outbreaks with information-dependent protective behaviour
Simone De Reggi, Andrea Pugliese, Mattia Sensi +1
We investigate a model for a mosquito-borne epidemic in which human hosts may adopt protective behaviour against vector bites in response to information on both past and current di…
On the effectiveness of odor-baited traps on mosquito-borne infections
Haonan Zhong, Marina Lima, Andrea Pugliese +3
The host's odor serves as a critical biological tracking signal in the host-seeking process of mosquitoes, and its heterogeneity significantly influences the transmission of mosqui…
Beyond water limitation in vegetation-autotoxicity patterning: a cross-diffusion model
Francesco Giannino, Annalisa Iuorio, Cinzia Soresina
Many mathematical models describing vegetation patterns are based on biomass--water interactions, due to the impact of this limited resource in arid and semi-arid environments. How…
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…
Cross-diffusion induced instability on networks
Christian Kuehn, Cinzia Soresina
The concept of Turing instability, namely that diffusion can destabilize the uniform steady state, is well known either in the context of partial differential equations (PDEs) or i…
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…
A General View on Double Limits in Differential Equations
Christian Kuehn, Nils Berglund, Christian Bick +4
In this paper, we review several results from singularly perturbed differential equations with multiple small parameters. In addition, we develop a general conceptual framework to…
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…
Persistence in seasonally varying predator-prey systems with Allee effect
Carlota Rebelo, Cinzia Soresina
A generalized seasonally-varying predator-prey model with Allee effect in the prey growth is investigated. The analysis is performed only on the basis of some properties determinin…
The effects of fecundity, mortality and distribution of the initial condition in phenological models
Sara Pasquali, Cinzia Soresina, Gianni Gilioli
Pest phenological models describe the cumulative flux of the individuals into each stage of the life cycle of a stage-structured population. Phenological models are widely used too…
Estimation of the mortality rate functions from time series field data in a stage-structured demographic model for Lobesia botrana
Sara Pasquali, Cinzia Soresina, Enrico Marchesini
Simulating the population dynamics of a stage-structured population requires the knowledge of the biodemographic functions characterizing the species, namely development, mortality…
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…
Time-optimal control strategies in SIR epidemic models
Luca Bolzoni, Elena Bonacini, Cinzia Soresina +1
We investigate the time-optimal control problem in SIR (Susceptible-Infected-Recovered) epidemic models, focusing on different control policies: vaccination, isolation, culling, an…