Four-periodicity in Leslie matrix models with density dependent survival probabilities

DOI10.1006/tpbi.1997.1344zbMath0974.92026OpenAlexW2002529007WikidataQ77437296 ScholiaQ77437296MaRDI QIDQ1269429

Arild Wikan

Publication date: 12 December 2001

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/tpbi.1997.1344

zbMATH Keywords

strange attractorsHopf bifurcationLeslie matrixdensity dependence4- cycles

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25)

Related Items (5)

Population-level effects of density dependence in a size-structured fishery model ⋮ An analysis of a semelparous population model with density-dependent fecundity and density-dependent survival probabilities ⋮ Strong resonance and chaos in a single-species chemostat model with periodic pulsing of resource ⋮ FLUCTUATIONS AND CORRELATIONS IN POPULATION MODELS WITH AGE STRUCTURE ⋮ Nonstationary and chaotic dynamics in age-structured population models

Cites Work

• Overcompensatory recruitment and generation delay in discrete age-structured population models
• Stability of discrete age-structured and aggregated delay-difference population models
• Stability results for delayed-recruitment models in population dynamics
• Analysis of an age-structured fishery model
• The subcritical collapse of predator populations in discrete-time predator-prey models
• Compensation and stability in nonlinear matrix models
• The dynamics of density dependent population models
• A nonlinear ergodic theorem for discrete systems
• Population dynamic consequences of competition within and between age classes
• Age dependent fecundity and the dynamics of a density-dependent population model
• Effects of delay, truncations and density dependence in reproduction schedules on stability of nonlinear Leslie matrix models
• A STRONG ERGODIC THEOREM FOR SOME NONLINEAR MATRIX MODELS FOR THE DYNAMICS OF STRUCTURED POPULATIONS
• NONLINEAR MATRIX MODELS AND POPULATION DYNAMICS
• Simple mathematical models with very complicated dynamics
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