PERIOD-DOUBLING BIFURCATIONS FOR SYSTEMS OF DIFFERENCE EQUATIONS AND APPLICATIONS TO MODELS IN POPULATION BIOLOGY

DOI10.1016/S0362-546X(96)00041-7zbMath0877.39011OpenAlexW2061931389MaRDI QIDQ4344866

James H. Roberds, James F. Selgrade

Publication date: 17 July 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00041-7

zbMATH Keywords

population biologyperiod-doubling bifurcationssystems of difference equations

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (8)

Global stability and bifurcations of perturbed Gumowski–Mira difference equation ⋮ Bifurcations analysis and tracking control of an epidemic model with nonlinear incidence rate ⋮ STUDY OF DEGENERATE BIFURCATIONS IN MAPS: A FEEDBACK SYSTEMS APPROACH ⋮ Asymptotically periodic solutions of second order difference equations ⋮ Bifurcations in a second-order difference equation from macroeconomics†Supported by NSFC, TRAPOYT and MOE Research grants. ⋮ Dynamical analysis of density-dependent selection in a discrete one-island migration model ⋮ Using stocking or harvesting to reverse period-doubling bifurcations in discrete population models ⋮ Bifurcation and chaos in discrete\,-\,time predator\,-\,prey system

Cites Work

• Hopf bifurcation and transition to chaos in Lotka-Volterra equation
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Coexistence for systems governed by difference equations of Lotka- Volterra type
• Hopf bifurcation in pioneer-climax competing species models
• Regular and chaotic cycling in models of ecological genetics
• Mutual exclusion versus coexistence for discrete competitive systems
• Dynamical behavior for population genetics models of differential and difference equations with nonmonotone fitnesses
• Geometry of exclusion principles in discrete systems
• Discrete time models for two-species competition
• Pioneer exclusion in a one-hump discrete pioneer-climax competitive system
• Exclusion principles for density-dependent discrete pioneer-climax models
• Constant and periodic rate stocking and harvesting for Kolmogorov-type population interaction models
• Lumped-density population models of pioneer-climax type and stability analysis of Hopf bifurcations
• STABLE PERIODIC BEHAVIOR IN A PIONEER-CLIMAX MODEL
• NONLINEAR MATRIX MODELS AND POPULATION DYNAMICS
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