Global stability and oscillation in nonlinear difference equations of population dynamics

DOI10.1016/j.amc.2003.08.029zbMath1064.39008OpenAlexW1976017483MaRDI QIDQ1888511

Wang-Tong Li

Publication date: 23 November 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.029

zbMATH Keywords

PersistenceGlobal stabilityPositive solutionsAsymptotic stabilityOscillationAsymptotic behaviorDelay difference equationDiscrete population model

Mathematics Subject Classification ID

Population dynamics (general) (92D25)

Cites Work

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• Stability in a population model
• Permanence and the dynamics of biological systems
• Global attractivity in population dynamics
• Almost periodic solutions of Lasota-Wazewska-type delay differential equation
• Oscillation and stability in nonlinear delay differential equations of population dynamics.
• Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\).
• Asymptotic properties of the positive equilibrium of a discrete survival model
• Oscillatory and asymptotic behavior of a discrete logistic model
• Oscillations and global attractivity in delay differential equations of population dynamics
• Global attractivity of a nonautonomous logistic difference equation with delay
• Periodic solutions of a single species discrete population model with periodic harvest/stock
• Global Attractivity in Nonlinear Delay Difference Equations
• Global attractivity in a nonlinear second‐order difference equation

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