Global stability in a population model with piecewise constant arguments

DOI10.1016/j.jmaa.2009.06.058zbMath1177.34097OpenAlexW2092097735MaRDI QIDQ837146

Fuat Gürcan, Fatma Bozkurt

Publication date: 10 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.06.058

zbMATH Keywords

boundednessglobal stabilitydifference equationslogistic differential equationssemi-cycle solutions

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Discrete version of topics in analysis (39A12)

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Cites Work

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• On the global attractivity for a logistic equation with piecewise constant arguments
• Global stability of population models
• Persistence and global stability in a population model
• Global stability and chaos in a population model with piecewise constant arguments
• Persistence, contractivity and global stability in logistic equations with piecewise constant delays
• On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_n}{Bx_n+Cx_{n-1}}\).
• Global stability in a logistic equation with piecewise constant arguments
• On the Trichotomy Character of x n +1 =(α+β x n +γ x n −1 )/( A + x n )

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