Pioneer exclusion in a one-hump discrete pioneer-climax competitive system

DOI10.1007/BF00168797zbMath0828.92029MaRDI QIDQ1340097

John E. Franke, Abdul-Aziz Yakubu

Publication date: 4 January 1996

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

extinctionomega-limit setnonlinear difference equationsattractor-repellor nicheclimax ecological modelsmutual exclusion principleone-hump mapspioneer modelstwo-dimensional discrete pioneer-climax competition model

Mathematics Subject Classification ID

Ecology (92D40) Applications of dynamical systems (37N99) Additive difference equations (39A10)

Related Items (15)

Simple dynamics in non-monotone Kolmogorov systems ⋮ Minimal wave speed and spread speed of competing pioneer and climax species ⋮ Lumped-density population models of pioneer-climax type and stability analysis of Hopf bifurcations ⋮ Multiple Attractors in Juvenile-adult Single Species Models ⋮ PERIOD-DOUBLING BIFURCATIONS FOR SYSTEMS OF DIFFERENCE EQUATIONS AND APPLICATIONS TO MODELS IN POPULATION BIOLOGY ⋮ Strange attractors for asymptotically zero maps ⋮ Single spreading speed and traveling wave solutions of a diffusive pioneer-climax model without cooperative property ⋮ Compensatory versus Overcompensatory Dynamics in Density-dependent Leslie Models ⋮ Global stability of discrete competition model ⋮ Invasion dynamics of a diffusive pioneer-climax model: monotone and non-monotone cases ⋮ Dynamics of a pioneer-climax species model with migration ⋮ The effects of planting and harvesting on endangered species in discrete competitive systems ⋮ Using stocking or harvesting to reverse period-doubling bifurcations in discrete population models ⋮ Co-invasion waves in a reaction diffusion model for competing pioneer and climax species ⋮ Global Stability of Cycles: Lotka-Volterra Competition Model With Stocking

Cites Work

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• Dynamical behavior of differential equation models of frequency and density dependent populations
• Coexistence for systems governed by difference equations of Lotka- Volterra type
• The discrete dynamics of symmetric competition in the plane
• Mutual exclusion versus coexistence for discrete competitive systems
• Geometry of exclusion principles in discrete systems
• Discrete time models for two-species competition
• Exclusion principles for density-dependent discrete pioneer-climax models
• STABLE PERIODIC BEHAVIOR IN A PIONEER-CLIMAX MODEL
• Primitive irreducible representations of nilpotent groups
• Global attractors in competitive systems
• Simple mathematical models with very complicated dynamics

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