@article{10902/30715,
year = {2023},
month = {3},
url = {https://hdl.handle.net/10902/30715},
abstract = {A two-dimensional free-boundary diffusive logistic model with radial symmetry is considered. This model is used in various fields to describe the dynamics of spreading in different media: fire propagation, spreading of population or biological invasions. Due to the radial symmetry, the free boundary can be treated by a front-fixing approach resulting in a fixed-domain non-linear problem, which is solved by an explicit finite difference method. Qualitative numerical analysis establishes the stability, positivity and monotonicity conditions. Special attention is paid to the spreading-vanishing dichotomy and a numerical algorithm for the spreading-vanishing boundary is proposed. Theoretical statements are illustrated by numerical tests.},
organization = {This research was partially funded by the Spanish Ministry of Science, Innovation and Universities, State Research Agency, National Research and Development Plan 2019 grant number PID2019-107685RB-I00.},
publisher = {MDPI},
publisher = {Mathematics, 2023, 11(6), 1296},
title = {Qualitative numerical analysis of a free-boundary diffusive logistic model},
author = {Casabán Bartual, María Consuelo and Company Rossi, Rafael and Egorova, Vera and Jódar Sánchez, Lucas},
}