9 citations · 9 across the 12 of their papers we have counts for
13 papers
Shock wavefronts for parabolic equations with sign-changing diffusivity
Diego Berti, Andrea Corli, Luisa Malaguti
We consider a reaction-diffusion equation in a one-dimensional space, where the diffusion coefficient changes sign from positive to negative and back to positive. The reaction term…
Topological Degree Methods for Age-Structured Epidemic Models
Luisa Malaguti, Stefania Perrotta
This paper is devoted to the study of an age-structured SIRS epidemic model, in which a population affected by a disease is divided into susceptible, infected, and removed individu…
Wavefronts for a degenerate reaction-diffusion system with application to bacterial growth models
Luisa Malaguti, Elisa Sovrano
We investigate wavefront solutions in a nonlinear system of two coupled reaction-diffusion equations with degenerate diffusivity: \[n_t = n_{xx} - nb, \quad b_t = [D nbb_x]_x + nb,…
The role of convection in the existence of wavefronts for biased movements
Diego Berti, Andrea Corli, Luisa Malaguti
We investigate a model, inspired by (Johnston et al., Sci. Rep., 7:42134, 2017), to describe the movement of a biological population which consists of isolated and grouped organism…
Diffusion-convection reaction equations with sign-changing diffusivity and bistable reaction term
Diego Berti, Andrea Corli, Luisa Malaguti
We consider a reaction-diffusion equation with a convection term in one space variable, where the diffusion changes sign from the positive to the negative and the reaction term is…
Wavefronts for degenerate diffusion-convection reaction equations with sign-changing diffusivity
Diego Berti, Andrea Corli, Luisa Malaguti
We consider in this paper a diffusion-convection reaction equation in one space dimension. The main assumptions are about the reaction term, which is monostable, and the diffusivit…
Uniqueness and nonuniqueness of fronts for degenerate diffusion-convection reaction equations
Diego Berti, Andrea Corli, Luisa Malaguti
We consider a scalar parabolic equation in one spatial dimension. The equation is constituted by a convective term, a reaction term with one or two equilibria, and a positive diffu…
Nonlocal solutions of parabolic equations with strongly elliptic differential operators
Irene Benedetti, Luisa Malaguti, Valentina Taddei
The paper deals with second order parabolic equations on bounded domains with Dirichlet conditions in arbitrary Euclidean spaces. Their interest comes from being models for describ…
Viscous profiles in models of collective movements with negative diffusivities
Andrea Corli, Luisa Malaguti
In this paper we consider an advection-diffusion equation, in one space dimension, whose diffusivity can be negative. Such equations arise in particular in the modeling of vehicula…
Sharp profiles in models of collective movements
Andrea Corli, Lorenzo di Ruvo, Luisa Malaguti
We consider a parabolic partial differential equation that can be understood as a simple model for crowds flows. Our main assumption is that the diffusivity and the source/sink ter…
Semi-wavefront solutions in models of collective movements with density-dependent diffusivity
Andrea Corli, Luisa Malaguti
This paper deals with a nonhomogeneous scalar parabolic equation with possibly degenerate diffusion term; the process has only one stationary state. The equation can be interpreted…
Traveling waves for degenerate diffusive equations on networks
Andrea Corli, Lorenzo Di Ruvo, Luisa Malaguti +1
In this paper we consider a scalar parabolic equation on a star graph; the model is quite general but what we have in mind is the description of traffic flows at a crossroad. In pa…
On the behavior of periodic solutions of planar autonomous Hamiltonian systems with multivalued periodic perturbations
Oleg Makarenkov, Luisa Malaguti, Paolo Nistri
Aim of the paper is to provide a method to analyze the behavior of -periodic solutions $x_\eps, \eps>0$, of a perturbed planar Hamiltonian system near a cycle , of smallest…