Haifeng, Huo; Li, Wantong Global attractivity and oscillation in a periodic “food limited” population model with delay. (Chinese. English summary) Zbl 1081.34523 Acta Math. Sci., Ser. A, Chin. Ed. 25, No. 2, 158-165 (2005). Summary: The nonlinear delay differential equation \[ N'(t)=r(t)N(t) \left(\frac{K(t)-N(t-m\omega)}{K(t)+\lambda(t)N(t-m\omega)}\right), \] where \(m\) is positive integer, \(\lambda(t)\), \(K(t)\) and \(r(t)\) are positive periodic functions of period \(\omega\). Sufficient conditions for oscillation, existence and global attractivity of a positive periodic solution of this equation are obtained. Some known results are extended and improved. MSC: 34K13 Periodic solutions to functional-differential equations 34K11 Oscillation theory of functional-differential equations 92D25 Population dynamics (general) 34K20 Stability theory of functional-differential equations Keywords:nonlinear delay equation; population model; oscillation; global attractivity PDFBibTeX XMLCite \textit{H. Haifeng} and \textit{W. Li}, Acta Math. Sci., Ser. A, Chin. Ed. 25, No. 2, 158--165 (2005; Zbl 1081.34523)