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

DOI10.1080/10236190701565511zbMath1158.39004OpenAlexW2003070393WikidataQ123018815 ScholiaQ123018815MaRDI QIDQ5457937

Elena Braverman, Samir H. Saker

Publication date: 10 April 2008

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190701565511

zbMATH Keywords

global attractivityperiodic solutionpositive solutionglobal asymptotic stabilityrational difference equationperiodic difference equationsBeverton-Holt equationPielou equationCushing-Henson conjectureattenuant cyclesaverage population density

Mathematics Subject Classification ID

Related Items (9)

On a generalization of the global attractivity for a periodically forced Pielou's equation ⋮ Compatibility of local and global stability conditions for some discrete population models ⋮ Global stability and oscillation of a discrete annual plants model ⋮ The Beverton-Hold model on isolated time scales ⋮ Multiple positive periodic solutions for a functional difference system ⋮ Global behavior of solutions of a periodically forced Sigmoid Beverton–Holt model ⋮ The discrete Beverton-Holt model with periodic harvesting in a periodically fluctuating environ\-ment ⋮ Stability of non-autonomous population models with bounded and periodic enforcement ⋮ A note on the nonautonomous delay Beverton–Holt model

Cites Work

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• Global stability of periodic orbits of non-autonomous difference equations and population biology
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• Global Dynamics of Some Periodically Forced, Monotone Difference Equations
• Global Behavior of Solutions of a Nonautonomous Delay Logistic Difference Equation
• A Periodically Forced Beverton-Holt Equation
• Nonautonomous Beverton-Holt equations and the Cushing-Henson conjectures
• A note on the nonautonomous Beverton-Holt model
• Attenuant cycles of population models with periodic carrying capacity

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