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Zbl 1090.34062
Berezansky, L.; Braverman, E.; Idels, L.
Delay differential equations with Hill's type growth rate and linear harvesting.
(English)
[J] Comput. Math. Appl. 49, No. 4, 549-563 (2005). ISSN 0898-1221

The authors consider the following delay differential equation with Hill-type growth rate and linear harvesting $$N'(t)=\frac{r(t)N(t)}{1+[N(t)]^{\gamma}}-b(t)N(t)-a(t)N(g(t)) .$$ They prove that all positive solutions are bounded. Moreover, they obtain conditions that assure the extinction or the persistence of the solutions.
[Marcos Lizana (Merida)]
MSC 2000:
*34K25 Asymptotic theory of functional-differential equations
34K12 Properties of solutions of functional-differential equations

Keywords: delay equations; extinction; persistence; Mackey-Glass equations; bounded solution

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