UNSPECIFIED (2003) Pullback permanence in a non-autonomous competitive Lotka-Volterra model. JOURNAL OF DIFFERENTIAL EQUATIONS, 190 (1). pp. 214-238. ISSN 0022-0396

Full text not available from this repository.

Abstract

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 --> infinity) 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. In contrast, we introduce the notion of "pullback permanence" and show that this property is enjoyed by our model. This is not just a mathematical artifice, but rather shows that if we come across an ecology that has been evolving for a very long time we still expect that both species are represented (and their numbers are bounded below), even if the final fate of one of them is less happy. The main tools in the paper are the theory of attractors for non-autonomous differential equations, the sub-supersolution method and the spectral theory for linear elliptic equations. (C) 2002 Elsevier Science (USA). All rights reserved.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	JOURNAL OF DIFFERENTIAL EQUATIONS
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
ISSN:	0022-0396
Date:	1 May 2003
Volume:	190
Number:	1
Number of Pages:	25
Page Range:	pp. 214-238
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/9801

Data sourced from Thomson Reuters' Web of Knowledge

Request changes to a record

Actions (login required)

View Item