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Original Articles

On the Cushing–Henson conjecture, delay difference equations and attenuant cycles

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Pages 275-286 | Received 22 Feb 2007, Accepted 05 Jul 2007, Published online: 24 Jun 2008

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (7)

April J. Harry, Candace M. Kent & Vlajko L. Kocic. (2012) Global behavior of solutions of a periodically forced Sigmoid Beverton–Holt model. Journal of Biological Dynamics 6:2, pages 212-234.
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Keigo Ishihara & Yukihiko Nakata. (2012) On a generalization of the global attractivity for a periodically forced Pielou's equation. Journal of Difference Equations and Applications 18:3, pages 375-396.
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V.L. Kocic. (2011) Global behaviour of solutions of a nonautonomous delay logistic difference equation, II. Journal of Difference Equations and Applications 17:4, pages 487-504.
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V.L. Kocic. (2010) Generalized attenuant cycles in some discrete periodically forced delay population models. Journal of Difference Equations and Applications 16:10, pages 1141-1149.
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E. Braverman & S.H. Saker. (2010) Periodic solutions and global attractivity of a discrete delay host macroparasite model. Journal of Difference Equations and Applications 16:7, pages 789-806.
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V. L. Kocic. (2010) A note on the nonautonomous delay Beverton–Holt model. Journal of Biological Dynamics 4:2, pages 131-139.
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Ulrich Krause. (2009) Stability of non-autonomous population models with bounded and periodic enforcement. Journal of Difference Equations and Applications 15:7, pages 649-658.
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Articles from other publishers (8)

Martin Bohner, Jaqueline Mesquita & Sabrina Streipert. (2022) The Beverton–Hold model on isolated time scales. Mathematical Biosciences and Engineering 19:11, pages 11693-11716.
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Vlajko L. Kocic. 2019. Difference Equations, Discrete Dynamical Systems and Applications. Difference Equations, Discrete Dynamical Systems and Applications 309 331 .
Yue-Wen Cheng & Hui-Sheng Ding. (2014) Multiple Positive Periodic Solutions for a Functional Difference System. Abstract and Applied Analysis 2014, pages 1-7.
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S.H. Saker. (2011) On the global stability conjecture of the genotype selection model. Acta Mathematica Scientia 31:2, pages 512-528.
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S. H. Saker. (2009) Compatibility of local and global stability conditions for some discrete population models. Nonlinear Dynamics 59:3, pages 375-396.
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Ziyad AlSharawi & Mohamed Ben Haj Rhouma. (2010) The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment. Advances in Difference Equations 2010:1, pages 215875.
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Ziyad AlSharawi & Mohamed Ben Haj Rhouma. (2010) The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment. Advances in Difference Equations 2010, pages 1-19.
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S. H. Saker. (2010) Global Stability and Oscillation of a Discrete Annual Plants Model. Abstract and Applied Analysis 2010, pages 1-18.
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