Global attractor in autonomous competitive Lotka-Volterra systems
نویسندگان
چکیده
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.
متن کاملGlobal attractor in competitive Lotka-Volterra systems
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.
متن کاملExtinction in Competitive Lotka-volterra Systems
It is well known that for the two species autonomous competitive Lotka-Volterra model with no fixed point in the open positive quadrant, one of the species is driven to extinction, whilst the other population stabilises at its own carrying capacity. In this paper we prove a generalisation of this result to arbitrary finite dimension. That is, for the «-species autonomous competitive Lotka-Volte...
متن کاملExtinction in Nonautonomous Competitive Lotka-volterra Systems
It is well known that for the two species autonomous competitive Lotka-Volterra model with no fixed point in the open positive quadrant, one of the species is driven to extinction, whilst the other population stabilises at its own carrying capacity. In this paper we prove a generalisation of this result to nonautonomous systems of arbitrary finite dimension. That is, for the n species nonautono...
متن کاملPullback permanence in a non-autonomous competitive Lotka–Volterra model
The goal of this work is to study in some detail the asymptotic behaviour of a nonautonomous Lotka–Volterra model, both in the conventional sense (as t-N) and in the ‘‘pullback’’ sense (starting a fixed initial condition further and further back in time). The nonautonomous terms in our model are chosen such that one species will eventually die out, ruling out any conventional type of permanence...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1999
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-99-05204-1