Using stocking or harvesting to reverse period-doubling bifurcations in discrete population models

DOI10.1080/10236199808808135zbMath0902.92022OpenAlexW2045936709MaRDI QIDQ4211786

James F. Selgrade

Publication date: 7 October 1998

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236199808808135

zbMATH Keywords

reversalsperiod-doubling bifurcationdiscrete population modelspioneer and climax populations

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Difference equations (39A99)

Related Items (8)

Positive solutions for a system of Neumann boundary value problems of second-order difference equations involving sign-changing nonlinearities ⋮ Existence of positive solutions for a nonlinear semipositone boundary value problems on a time scale ⋮ Positive solutions for singular semi-positone three-point systems ⋮ Unnamed Item ⋮ Turing instability in pioneer/climax species interactions ⋮ Positive solutions for multiparameter semipositone discrete boundary value problems via variational method ⋮ Population models with diffusion, strong Allee effect and constant yield harvesting ⋮ Global Stability of Cycles: Lotka-Volterra Competition Model With Stocking

Cites Work

• Hopf bifurcation and transition to chaos in Lotka-Volterra equation
• Coexistence for systems governed by difference equations of Lotka- Volterra type
• Mutual exclusion versus coexistence for discrete competitive systems
• 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
• The effects of planting and harvesting on endangered species in discrete competitive systems
• 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
• Species extinction using geometry of level surfaces
• PERIOD-DOUBLING BIFURCATIONS FOR SYSTEMS OF DIFFERENCE EQUATIONS AND APPLICATIONS TO MODELS IN POPULATION BIOLOGY

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