Hyperbolic limit for a biological invasion

DOI10.3934/dcdsb.2023070zbMath1521.35013OpenAlexW4362652844MaRDI QIDQ6171916

Yongjung Kim, Hyunjoon Park, Danielle Hilhorst, Thanh Nam Nguyen

Publication date: 16 August 2023

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2023070

zbMATH Keywords

singular perturbationreaction diffusion equationspopulation dynamicsinterface problems

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) Traveling wave solutions (35C07)

Cites Work

• Unnamed Item
• Unnamed Item
• Starvation driven diffusion as a survival strategy of biological organisms
• Convergence to a propagating front in a degenerate Fisher-KPP equation with advection
• Dispersal towards food: the singular limit of an Allen-Cahn equation
• Interface dynamics of the Fisher equation with degenerate diffusion
• The singular limit of the Allen-Cahn equation and the FitzHugh-Nagumo system
• Spatial distribution of dispersing animals
• On the diffusion of biological populations
• Biological advection and cross-diffusion with parameter regimes
• A logarithmic chemotaxis model featuring global existence and aggregation
• The Fisher-KPP problem with doubly nonlinear diffusion
• Model for Heterogeneous Diffusion
• Diffusion of Biological Organisms: Fickian and Fokker--Planck Type Diffusions
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS

This page was built for publication: Hyperbolic limit for a biological invasion