Pullback permanence in a non-autonomous competitive Lotka–Volterra model
نویسندگان
چکیده
منابع مشابه
Pullback 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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In this paper, we consider a multi-species Lotka–Volterra type competitive system with delays and feedback controls. A general criteria on the permanence is established, which is described by integral form and independent of feedback controls. By constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are derived for global stability of any positive solution...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2003
ISSN: 0022-0396
DOI: 10.1016/s0022-0396(02)00173-0