Global behaviour of a predator–prey like model with piecewise constant arguments

DOI10.1080/17513758.2015.1049225zbMath1448.92207OpenAlexW1526371720WikidataQ46719956 ScholiaQ46719956MaRDI QIDQ3304574

Fuat Gürcan, Senol Kartal

Publication date: 3 August 2020

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2015.1049225

zbMATH Keywords

stabilitybifurcationdifference equationpiecewise constant arguments

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)

Related Items (5)

Complex dynamics of a discrete-time Bazykin-Berezovskaya prey-predator model with a strong Allee effect ⋮ On the analysis of stability, bifurcation, and chaos control of discrete-time predator-prey model with Allee effect on predator ⋮ Numerical oscillation and non-oscillation analysis of the mixed type impulsive differential equation with piecewise constant arguments ⋮ Controlling chaos and Neimark-Sacker bifurcation in a discrete-time predator-prey system ⋮ Qualitative properties and bifurcations of discrete-time Bazykin–Berezovskaya predator–prey model

Cites Work

• Stability analysis for discrete biological models using algebraic methods
• Stability analysis of a population model with piecewise constant arguments
• On the global attractivity for a logistic equation with piecewise constant arguments
• Global stability in a population model with piecewise constant arguments
• New contractivity condition in a population model with piecewise constant arguments
• Persistence and global stability in a population model
• Global stability and chaos in a population model with piecewise constant arguments
• Numerical approximation of the solutions of delay differential equations on an infinite interval using piecewise constant arguments
• Persistence, contractivity and global stability in logistic equations with piecewise constant delays
• Global stability in a logistic equation with piecewise constant arguments
• Stability analysis of a mathematical model in a microcosm with piecewise constant arguments
• Modeling a tumor growth with piecewise constant arguments

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