Dynamics of strongly competing systems with many species

2011/09/15 by E. N. Dancer, Kelei Wang, Zhitao Zhang · 6 citations
Medicine · Mathematics · #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematical Biology Tumor Growth #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.1090/s0002-9947-2011-05488-7

Abstract

In this paper, we prove that the solution of the Lotka-Volterra competing species system with strong competition converges to a stationary point under some natural conditions. We also study the moving boundary problem of the singular limit equation, which plays an important role in our proof.

Cited by

• On Phase-Separation Models: Asymptotics and Qualitative Properties
• Spiraling Asymptotic Profiles of Competition‐Diffusion Systems
• Generic configurations in 2D strongly competing systems
• Competition in periodic media: II -- Segregative limit of pulsating fronts and "Unity is not Strength"-type result
• Some remarks on segregation of k species in strongly competing system
• Segregated configurations involving the square root of the laplacian and their free boundaries

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