Abstract
AbstractIn this paper we study the scalar delay differential equation $$\begin{aligned} x'(t)=\alpha (t) x(t-g_{1}(t)) f(a(t),x(t-g_{2}(t)))-\beta (t) x(t) \end{aligned}$$
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where f is decreasing in both arguments and the coefficients are positive and bounded. Sufficient conditions for the permanence and global attractivity for a fixed positive solution are derived. We apply our results to nonautonomous variants of Nicholson’s blowfly equation and the Beverton–Holt model.
Publisher
Springer Science and Business Media LLC
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