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Qualitative numerical analysis of a free-boundary diffusive logistic model

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.

Otras publicaciones de la misma revista o congreso con autores/as de la Universidad de Cantabria

 Fuente: Mathematics, 2023, 11(6), 1296

Editorial: MDPI

 Fecha de publicación: 08/03/2023

Nº de páginas: 19

Tipo de publicación: Artículo de Revista

 DOI: 10.3390/math11061296

ISSN: 2227-7390

Proyecto español: PID2019-107685RB-I00

Autores/as

CASABÁN BARTUAL, MARÍA CONSUELO

COMPANY ROSSI, RAFAEL

JÓDAR SÁNCHEZ, LUCAS