## On oscillation of a food-limited population model with time delay.(English)Zbl 1026.34075

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, $$h,g:[0,+\infty)\to \mathbb{R}$$ are Lebesgue measurable functions, $$h(t)\leq t$$, $$g(t)\leq t$$,
$$\lim_{t\to +\infty}h(t)=+\infty$$, $$\lim_{t\to +\infty}g(t)=+\infty$$, and $$K>0$$. Some generalization of the above-mentioned equation is considered, too.
Reviewer: Robert Hakl (Brno)

### MSC:

 34K11 Oscillation theory of functional-differential equations 92D25 Population dynamics (general)

### Keywords:

oscillation criteria; nonoscillation criteria
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