On a periodic delay population model. (English) Zbl 0788.92022
Summary: The existence of a positive periodic solution for
\[
N'(t)= N(t) \bigl[ a(t)+b(t)N(t- m\omega)- c(t)N^ 2(t-m\omega)\bigl]
\]
is established. Sufficient conditions are given for the periodic solution to be globally attractive.
MSC:
| 92D25 | Population dynamics (general) |
| 34K20 | Stability theory of functional-differential equations |
| 34K99 | Functional-differential equations (including equations with delayed, advanced or state-dependent argument) |
