Bifurcation and complex dynamics of a discrete-time predator-prey system with simplified monod-Haldane functional response

DOI10.1186/s13662-015-0680-7zbMath1422.37023OpenAlexW2120476177WikidataQ59427473 ScholiaQ59427473MaRDI QIDQ1991037

Sarker Md Sohel Rana

Publication date: 29 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0680-7

zbMATH Keywords

chaosLyapunov exponentsbifurcationsdiscrete-time predator-prey systemsimplified monod-Haldane functional response

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical aspects of attractors and their bifurcations (37G35) Stability theory for difference equations (39A30) Chaotic behavior of solutions of difference equations (39A33)

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Cites Work

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• 1:2 and 1:4 resonances in a two-dimensional discrete Hindmarsh-Rose model
• Stability and bifurcation analysis of a discrete predator-prey model with nonmonotonic functional response
• Bifurcation and chaotic behavior of a discrete-time predator-prey system
• Bifurcation and chaos in discrete\,-\,time predator\,-\,prey system
• Chaotic dynamics of a discrete prey-predator model with Holling type II
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Predator-prey systems with group defence: The paradox of enrichment revisited
• Elements of applied bifurcation theory.
• Complex dynamic behavior of a discrete-time predator-prey system of Holling-III type
• Complex dynamic behaviors of a discrete-time predator-prey system
• Bifurcations and chaos in a two-dimensional discrete Hindmarsh-Rose model
• Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
• Bifurcation Analysis of a Predator-Prey System with Nonmonotonic Functional Response
• Introduction to Applied Nonlinear Dynamical Systems and Chaos