Global attractor in competitive Lotka-Volterra systems
نویسنده
چکیده
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.
منابع مشابه
Global Attractor in Autonomous Competitive Lotka-volterra Systems
For autonomous Lotka-Volterra systems modelling the dynamics of N competing species, a new condition has been found to prevent a particular species from dying out. Based on this condition, criteria have been established for all or some of the N species to stabilise at a steady state whilst the others, if any, die out.
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تاریخ انتشار 2008