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Global attractor in competitive Lotka–Volterra systems
Author(s) -
Hou Zhanyuan
Publication year - 2009
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200610785
Subject(s) - attractor , mathematics , volterra equations , differential equation , fixed point , rössler attractor , dynamical systems theory , mathematical analysis , nonlinear system , physics , quantum mechanics
Abstract For autonomous Lotka–Volterra systems of differential equations modelling the dynamics of n competing species, new criteria are established for the existence of a single point global attractor. Under the conditions of these criteria, some of the species will survive and stabilise at a steady state whereas the others, if any, will die out (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)