Global attractivity of periodic solutions in a higher order difference equation

DOI10.1016/j.aml.2012.12.005zbMath1261.39019OpenAlexW1989330840MaRDI QIDQ1941232

Chuanxi Qian

Publication date: 12 March 2013

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.12.005

zbMATH Keywords

global attractivityperiodic solutionpopulation modelhigher order difference equation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Additive difference equations (39A10) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)

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Bifurcation and chaos in a discrete physiological control system ⋮ Existence and global attractivity of periodic solutions in a higher order difference equation ⋮ Dynamics of a family of nonlinear delay difference equations ⋮ Global attractivity of a higher order nonlinear difference equation with unimodal terms ⋮ NEIMARK-SACKER BIFURCATION OF A SEMI-DISCRETE HEMATOPOIESIS MODEL ⋮ Asymptotic stability and strict boundedness for non-autonomous nonlinear difference equations with time-varying delay ⋮ On the global dynamics of a rational difference equation with periodic coefficients ⋮ Existence and global attractivity of periodic solutions to some classes of difference equations

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