Elsevier

Applied Mathematics Letters

Volume 16, Issue 7, October 2003, Pages 1047-1051
Applied Mathematics Letters

Periodic solutions of a delayed, periodic logistic equation

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Abstract

Consider the delayed periodic logistic equation, N(t)=N(t) [a(t)-b(t)Np(t-σ(t))-c(t)Nq(tT(t))], which describes the evolution of a single species. The existence of a positive periodic solution is established by using the method of coincidence degree.

Keywords

Positive periodic solution
Delayed logistic equation
Coincidence degree

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Research partially supported by the start-up fund of Wilfrid Laurier University and by Natural Sciences and Engineering Research Council of Canada.