Global attractor in competitive Lotka-Volterra systems
نویسندگان
چکیده
منابع مشابه
Global 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 کاملGlobal 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 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 کاملGlobal Attractor of Coupled Difference Equations and Applications to Lotka-volterra Systems
This paper is concerned with a coupled system of nonlinear difference equations which is a discrete approximation of a class of nonlinear differential systems with time delays. The aim of the paper is to show the existence and uniqueness of a positive solution and to investigate the asymptotic behavior of the positive solution. Sufficient conditions are given to ensure that a unique positive eq...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2009
ISSN: 0025-584X
DOI: 10.1002/mana.200610785