Dynamics of strongly competing systems with many species

Dancer, E.; Wang, Kelei; Zhang, Zhitao

doi:10.1090/S0002-9947-2011-05488-7

Dynamics of strongly competing systems with many species
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by E. N. Dancer, Kelei Wang and Zhitao Zhang PDF

Trans. Amer. Math. Soc. 364 (2012), 961-1005 Request permission

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.

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