2 papers
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,…
math.AP2023
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…