Exclusion principles for density-dependent discrete pioneer-climax models

DOI10.1006/jmaa.1994.1404zbMath0840.92027OpenAlexW2030910653MaRDI QIDQ1340606

John E. Franke, Abdul-Aziz Yakubu

Publication date: 1 July 1996

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1994.1404

zbMATH Keywords

coexistencepopulation ecologyexclusion of speciesdiscretely reproducing populationspioneer-climax principles

Mathematics Subject Classification ID

Ecology (92D40) Additive difference equations (39A10)

Related Items (11)

Simple dynamics in non-monotone Kolmogorov systems ⋮ Pioneer exclusion in a one-hump discrete pioneer-climax competitive system ⋮ Species extinction using geometry of level surfaces ⋮ Periodic versus constant harvesting of discretely reproducing fish populations ⋮ Lumped-density population models of pioneer-climax type and stability analysis of Hopf bifurcations ⋮ PERIOD-DOUBLING BIFURCATIONS FOR SYSTEMS OF DIFFERENCE EQUATIONS AND APPLICATIONS TO MODELS IN POPULATION BIOLOGY ⋮ Principles of competitive exclusion for discrete populations with reproducing juveniles and adults ⋮ Strange attractors for asymptotically zero maps ⋮ Constant proportion harvest policies: dynamic implications in the Pacific halibut and atlantic cod fisheries ⋮ Global stability of discrete competition model ⋮ Using stocking or harvesting to reverse period-doubling bifurcations in discrete population models

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