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Zbl 1093.34554
Chen, Y.
Periodic solutions of delayed periodic Nicholson's blowflies models.
(English)
[J] Can. Appl. Math. Q. 11, No. 1, 23-28 (2003). ISSN 1073-1849

The author considers the modified Nicholson blowflies model $$\frac{dN}{dt} (t) =-\delta (t)N(t)+P(t)N(t-\sigma (t)) \exp (-a (t)N(t-\tau (t))), \tag *$$ where $\delta \in C(\Bbb R,\Bbb R), \ P, \sigma ,\tau \in C(\Bbb R, [0,\infty))$, and $a \in C(\Bbb R , (0,\infty))$ are $\omega$-periodic functions with $\int^\omega_0 \delta (t) \,dt >0.$ He derives some easily verifiable sufficient conditions for the existence of a periodic solution to $(*)$. The proof is based on the coincidence degree.
[Klaus R. Schneider (Berlin)]
MSC 2000:
*34K13 Periodic solutions of functional differential equations
92D25 Population dynamics

Keywords: coincidence degree

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