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Zbl 1026.34075
Berezansky, Leonid; Braverman, Elena
On oscillation of a food-limited population model with time delay. (English)
[J] Abstr. Appl. Anal. 2003, No.1, 55-66 (2003). ISSN 1085-3375; ISSN 1687-0409/e

Explicit oscillation and nonoscillation conditions for the scalar nonlinear delay differential equation $$ N'(t)=r(t)N(t)\frac{K-N(h(t))}{K+s(t)N(g(t))} $$ are established, where $r(t)\geq 0$, $s(t)\geq 0$ are Lebesgue measurable locally essentially bounded functions, $h,g:[0,+\infty)\to \bbfR$ are Lebesgue measurable functions, $h(t)\leq t$, $g(t)\leq t$,\break $\lim_{t\to +\infty}h(t)=+\infty$, $\lim_{t\to +\infty}g(t)=+\infty$, and $K>0$. Some generalization of the above-mentioned equation is considered, too.
[Robert Hakl (Brno)]

MSC 2000:: *34K11 Oscillation theory of functional-differential equations
92D25 Population dynamics

Keywords: oscillation criteria; nonoscillation criteria

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