A note on "Existence and uniqueness of coexistence states for an\n elliptic system coupled in the linear part", by Hei Li-Jun, Nonlinear Anal.\n Real World Appl. 5, 2004

2021/07/05 by Léo Girardin, Girardin, Léo
Computer Science · Mathematics · Medicine · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.2107.01841

openalex publication_date 2021/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short paper I report on a paper published in Nonlinear Analysis: Real\nWorld Applications in 2004. There is a major mistake early in that paper which\nmakes most of its claims false. The class of reaction-diffusion systems\nconsidered in the paper has been the object of a renewed investigation in the\npast few years, by myself and others, and recent discoveries provide explicit\ncounterexamples .\n

Citations

• Existence and qualitative properties of travelling waves for an\n epidemiological model with mutations
• Two components is too simple: an example of oscillatory Fisher--KPP\n system with three components

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