Abstract and Applied Analysis 
Volume 2003 (2003), Issue 1, Pages 55-66
doi:10.1155/S1085337503209040

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

Leonid Berezansky1 and Elena Braverman2

 1Department of Mathematics, Ben-Gurion University of The Negev, Beer-Sheva 84105, Israel
2Department of Mathematics and Statistics, University of Calgary, 2500 University Drive N.W., Calgary, Alberta T2N 1N4, Canada
Received 1 October 2001

Abstract

For a scalar nonlinear delay differential equationN˙(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.