Forwards and pullback behaviour of a non-autonomous Lotka-Volterra system
UNSPECIFIED. (2003) Forwards and pullback behaviour of a non-autonomous Lotka-Volterra system. NONLINEARITY, 16 (4). pp. 1277-1293. ISSN 0951-7715Full text not available from this repository.
Lotka-Volterra systems have been extensively studied by many authors, both in the autonomous and non-autonomous cases. In previous papers the time asymptotic behaviour as t --> infinity has been considered. In this paper we also consider the 'pullback' asymptotic behaviour which roughly corresponds to observing a system 'now' that has already been evolving for a long time. For a competitive system that is asymptotically autonomous both as t --> -infinity and as t --> +infinity we show that these two notions of asymptotic behaviour can be very different but are both important for a full understanding of the dynamics. In particular there are parameter ranges for which, although one species dies out as t --> infinity, there is a distinguished time-dependent coexistent state that is attracting in the pullback sense.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics
Q Science > QC Physics
|Journal or Publication Title:||NONLINEARITY|
|Publisher:||IOP PUBLISHING LTD|
|Official Date:||July 2003|
|Number of Pages:||17|
|Page Range:||pp. 1277-1293|
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