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Zbl 1193.34149
Berezansky, L.; Braverman, E.; Idels, L.
Nicholson's blowflies differential equations revisited: main results and open problems.
(English)
[J] Appl. Math. Modelling 34, No. 6, 1405-1417 (2010). ISSN 0307-904X

Summary: This review covers permanence, oscillation, local and global stability of solutions for Nicholson's blowflies differential equation. Some generalizations, including the most recent results for equations with a distributed delay and models with periodic coefficients, are considered.
MSC 2000:
*34K20 Stability theory of functional-differential equations
92D25 Population dynamics

Keywords: delay equations; stability; oscillation; permanence; nicholson's blowflies equation; periodic solutions

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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