Forwards and pullback behaviour of a non-autonomous Lotka-Volterra system. (English) Zbl 1044.34009
The authors study properties of a nonautonomous competitive Lotka-Volterra system for two spieces \(u\) and \(v\) of the form
\[
u'=u(\lambda-a(t)u-bv),\;v'=v(\mu-cv-du).
\]
They also consider the “pullback” asymptotic behaviour and the describe the behaviour both as \(t\to\infty\) and \(t\to-\infty\).
Reviewer: Jozef Dzurina (Kosice)
MSC:
34D05 | Asymptotic properties of solutions to ordinary differential equations |
34D20 | Stability of solutions to ordinary differential equations |