Global stability in difference equations satisfying the generalized Yorke condition

DOI10.1016/j.jmaa.2004.08.028zbMath1068.39026OpenAlexW2071037676MaRDI QIDQ1766697

Sergei I. Trofimchuk, Victor I. Tkachenko

Publication date: 8 March 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/176438

zbMATH Keywords

convergenceglobal stabilitydifference equationpositive equilibriumYorke conditionsingle species population modelsnonlinear, nonautonomous difference equation

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Stability theory for smooth dynamical systems (37C75)

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Cites Work

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• Delay differential equations: with applications in population dynamics
• Introduction to algebra. Transl. from the Russian by Neal Koblitz
• Discrete Halanay-type inequalities and applications.
• The global attractivity of difference equations of nonincreasing nonlinearities with applications.
• A note on the global stability of generalized difference equations
• On a generalized Yorke condition for scalar delayed population models
• Halanay inequality, Yorke 3/2 stability criterion, and differential equations with maxima
• Wright type delay differential equations with negative Schwarzian.
• A note on global attractivity in models of hematopoiesis
• A Global Stability Criterion for Scalar Functional Differential Equations
• Boundedness and Stability for Higher Order Difference Equations^*
• Global attractivity and presistence in a discrete population model^*
• Convergence to equilibria in discrete population models
• Global Attractivity of the Equilibrium of a Nonlinear Difference Equation
• On the discretization of a delay differential equation
• A global stability criterion for a family of delayed population models
• Global attractivity for a nonlinear difference equation with variable delay