An \(N\)-barrier maximum principle for autonomous systems of \(n\) species and its application to problems arising from population dynamics

DOI10.3934/cpaa.2019003zbMath1400.35043arXiv1602.00304OpenAlexW2887686999MaRDI QIDQ1615684

Li-Chang Hung, Chen-Chih Lai, Chuin Chuan Chen

Publication date: 31 October 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00304

zbMATH Keywords

bounds for the linear combination of the componentsfour species Lotka-Volterra systemtangent line method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Maximum principles in context of PDEs (35B50) Traveling wave solutions (35C07)

Related Items (5)

Estimates of population size for traveling wave solutions of spatially non-local Lotka-Volterra competition system ⋮ An \(N\)-barrier maximum principle for elliptic systems arising from the study of traveling waves in reaction-diffusion systems ⋮ N-barrier maximum principle for degenerate elliptic systems and its application ⋮ Nonlinear estimates for traveling wave solutions of reaction diffusion equations ⋮ Discrete N-barrier maximum principle for a lattice dynamical system arising in competition models

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