Global attractors, extremal stability and periodicity for a delayed
population model with survival rate on isolated time scales
Abstract
In this paper, we investigate the existence of global attractors,
extreme stability, periodicity and asymptotically periodicity of
solutions of the delayed population model with survival rate on isolated
time scales given by \[ x^{\Delta}
(t) = \gamma(t) x(t) +
\dfrac{x(d(t))}{\mu(t)}e^{r(t)\mu(t)\left(1
-
\frac{x(d(t))}{\mu(t)}\right)},
\ \ t \in
\mathbb T. \] We present many examples
to illustrate our results, considering different time scales
