Lumped-density population models of pioneer-climax type and stability analysis of Hopf bifurcations

DOI10.1016/0025-5564(95)00109-3zbMath0847.92021OpenAlexW2039333790WikidataQ44866651 ScholiaQ44866651MaRDI QIDQ1918046

James F. Selgrade, James H. Roberds

Publication date: 13 October 1996

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(95)00109-3

zbMATH Keywords

survivalgrowthHopf bifurcationsdiscrete modelspopulation densitystability propertiesfitnessclimax populationHopf invariant curvesHopf periodic orbitspioneer populationspecies per capita growth rateweighted total density

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Ecology (92D40)

Related Items (11)

Traveling wavefronts of competing pioneer and climax model with nonlocal diffusion ⋮ PERIOD-DOUBLING BIFURCATIONS FOR SYSTEMS OF DIFFERENCE EQUATIONS AND APPLICATIONS TO MODELS IN POPULATION BIOLOGY ⋮ Traveling wavefronts of a diffusive competing pioneer and climax system with delays ⋮ LOCAL FEEDBACK CONTROL OF THE NEIMARK–SACKER BIFURCATION ⋮ On the structure of attractors for discrete, periodically forced systems with applications to population models ⋮ Traveling wave solutions of a reaction diffusion model for competing pioneer and climax species ⋮ Dynamics of a pioneer-climax species model with migration ⋮ Rich spatial-temporal dynamics in a diffusive population model for pioneer-climax species ⋮ 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 ⋮ Co-invasion waves in a reaction diffusion model for competing pioneer and climax species

Cites Work

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