A nonlinear $L^2$-stability analysis for two-species population dynamics with dispersal

The nonlinear $L^2$-stability (instability) of the equilibrium statesof two-species population dynamics with dispersal is studied. The obtainedresults are based on (i) the rigorous reduction of the $L^2$-nonlinear stability tothe stability of the zero solution of a linear binary system of ODEs and (...

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Bibliographic Details
Main Author: Salvatore Rionero
Format: Article
Language:English
Published: AIMS Press 2005-10-01
Series:Mathematical Biosciences and Engineering
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Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.189
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