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Zbl 1118.34327
Chen, Yuming
Periodic solutions of a delayed, periodic logistic equation.
(English)
[J] Appl. Math. Lett. 16, No. 7, 1047-1051 (2003). ISSN 0893-9659

Consider the delay differential equation $${dN(t)\over dt}= N(t)[a(t)- b(t) N^p(t-\sigma(t))- c(t) N^q(t-\tau(t))],\tag{*}$$ where $a$, $b$, $c$, $\tau$ are continuous $\omega$-periodic functions, $p$ and $q$ are positive constants. The author establishes the existence of a positive $\omega$-periodic solution of $(*)$ by using Mawhin's continuation theorem.
[Klaus R. Schneider (Berlin)]
MSC 2000:
*34K13 Periodic solutions of functional differential equations
92D25 Population dynamics

Keywords: Positive periodic solution; Delayed logistic equation; Coincidence degree

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