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Nicholson’s blowflies differential equations revisited: Main results and open problems
Authors:L. Berezansky  E. Braverman  L. Idels
Affiliation:1. Department of Mathematics and Computer Science, Ben-Gurion University of Negev, Beer-Sheva 84105, Israel;2. Department of Mathematics and Statistics, University of Calgary, 2500 University Drive N.W., Calgary, AB, Canada T2N 1N4;3. Department of Mathematics, Vancouver Island University (VIU), 900 Fifth Street, Nanaimo, BC, Canada V9S 5J5
Abstract: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.
Keywords:Delay equations   Stability   Oscillation   Permanence   Nicholson&rsquo  s blowflies equation   Periodic solutions
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