3 papers
math.AP2026
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…
math.AP2026
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…
math.AP2024
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,…