On oscillation of a food-limited population model with time delay

Leonid Berezansky; Elena Braverman

doi:10.1155/S1085337503209040

On oscillation of a food-limited population model with time delay

Leonid Berezansky, Elena Braverman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

For a scalar nonlinear delay differential equation N(t) = r(t)N(t)(K - N(h(t)))/(K + s(t)N(g(t))), r(t) ≥ 0, K > 0, h(t) ≤ t, g(t) ≤ t and some generalizations of this equation, we establish explicit oscillation and nonoscillation conditions. Coefficient r(t) and delays are not assumed to be continuous.

Original language	English
Pages (from-to)	55-66
Number of pages	12
Journal	Abstract and Applied Analysis
Volume	2003
Issue number	1
DOIs	https://doi.org/10.1155/S1085337503209040
State	Published - 16 Jan 2003

ASJC Scopus subject areas

Analysis
Applied Mathematics

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AB - For a scalar nonlinear delay differential equation N(t) = r(t)N(t)(K - N(h(t)))/(K + s(t)N(g(t))), r(t) ≥ 0, K > 0, h(t) ≤ t, g(t) ≤ t and some generalizations of this equation, we establish explicit oscillation and nonoscillation conditions. Coefficient r(t) and delays are not assumed to be continuous.

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On oscillation of a food-limited population model with time delay

Abstract

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