Analysis of a Class of Low-Dimensional Models of Mutation and Predation

DOI10.1142/S0218127416300299zbMath1349.39030WikidataQ115523778 ScholiaQ115523778MaRDI QIDQ2834932

Gavin M. Abernethy, Mark McCartney

Publication date: 1 December 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

chaotic dynamicsLyapunov exponentsquasiperiodicitytwo-dimensional modelcoupled logistic maps

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Discrete version of topics in analysis (39A12) Applications of difference equations (39A60) Bifurcation theory for difference equations (39A28) Chaotic behavior of solutions of difference equations (39A33)

Related Items (5)

Stability, collapse and hyperchaos in a class of tri-trophic predator-prey models ⋮ Analytical bifurcation and strong resonances of a discrete Bazykin–Berezovskaya predator–prey model with Allee effect ⋮ Under the influence of crowding effects: Stability, bifurcation and chaos control for a discrete-time predator–prey model ⋮ Analysis of a Class of Low-Dimensional Models of Mutation and Predation ⋮ Zombies: a simple discrete model of the apocalypse

Cites Work

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• Stability and bifurcation analysis of a discrete predator-prey model with nonmonotonic functional response
• Effects of cannibalism on a basic stage structure
• 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
• The stabilizing role of cannibalism in a predator-prey system
• Dynamical properties of discrete Lotka-Volterra equations
• Effect of prey growth and predator cannibalism rate on the stability of a structured population model
• Analysis of a Class of Low-Dimensional Models of Mutation and Predation
• A MINIMAL 2-D QUADRATIC MAP WITH QUASI-PERIODIC ROUTE TO CHAOS
• On the Neimark–Sacker bifurcation in a discrete predator–prey system

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