Invasive behaviour under competition via a free boundary model: a numerical approach

DOI10.1007/s00285-021-01641-yzbMath1477.35285OpenAlexW3188922822WikidataQ111158351 ScholiaQ111158351MaRDI QIDQ2047175

Kamruzzaman Khan, Timothy M. Schaerf, Yihong Du, Shuang Liu

Publication date: 19 August 2021

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-021-01641-y

zbMATH Keywords

free boundarydiffusive competition modellongtime dynamicsinvasive behaviour

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Free boundary problems for PDEs (35R35) Computational methods for problems pertaining to biology (92-08) Initial-boundary value problems for second-order parabolic systems (35K51) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (7)

Propagation and reaction–diffusion models with free boundaries ⋮ A climate shift model with free boundary: enhanced invasion ⋮ Wave solutions and numerical validation for the coupled reaction-advection-diffusion dynamical model in a porous medium ⋮ A competition model with impulsive interventions and environmental perturbations in moving environments ⋮ Effects of environmental heterogeneity on species spreading via numerical analysis of some free boundary models ⋮ Construction of traveling wave solutions of the (2 + 1)‐dimensional modified KdV‐KP equation ⋮ Classification of the spreading behaviors of a two-species diffusion-competition system with free boundaries

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