Article
Forwards and pullback behaviour of a non-autonomous Lotka-Volterra system
Author/s | Langa Rosado, José Antonio
Robinson, James C. Suárez Fernández, Antonio |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2003-07 |
Deposit Date | 2016-04-21 |
Published in |
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Abstract | 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 → ∞ has been considered. In this paper we also ... 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 → ∞ 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 → −∞ and as t → +∞ 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 → ∞, there is a distinguished time-dependent coexistent state that is attracting in the pullback sense. |
Funding agencies | Ministerio de Ciencia y Tecnología (MCYT). España Royal Society (UK) |
Project ID. | BFM2002- 03068 |
Citation | Langa Rosado, J.A., Robinson, J.C. y Suárez Fernández, A. (2003). Forwards and pullback behaviour of a non-autonomous Lotka-Volterra system. |
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