Generation of interfaces for Lotka--Volterra competition--diffusion system with large interaction rates

DOI10.1016/j.jde.2007.01.002zbMath1116.35007OpenAlexW2019134276MaRDI QIDQ878546

Kimie Nakashima, Tohru Wakasa

Publication date: 26 April 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2007.01.002

zbMATH Keywords

upper and lower solutionscompetition-diffusion systemdynamics of interface

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Ecology (92D40) Initial value problems for second-order parabolic systems (35K45)

Related Items (5)

Fortune favours the brave: movement responses shape demographic dynamics in strongly competing populations ⋮ Travelling waves for diffusive and strongly competitive systems: Relative motility and invasion speed ⋮ Lecture Notes on the Singular Limit of Reaction-diffusion Systems ⋮ Singularly perturbed solution for nonlinear equations of fourth order with two parameters ⋮ Convergence rates of Tikhonov regularization for recovering growth rates in a Lotka-Volterra competition model with diffusion

Cites Work

• Pattern formation in competition-diffusion systems in nonconvex domains
• Generation and propagation of interfaces for reaction-diffusion equations
• Competing species equations with diffusion, large interactions, and jumping nonlinearities
• The fast reaction limit for a reaction-diffusion system
• A free boundary problem in ecology
• On the regularity of a chemical reaction interface
• Spatial segregation limit of a competition–diffusion system
• Singular Limit of a Spatially Inhomogeneous Lotka–Volterra Competition–Diffusion System
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