A density-dependent Leslie matrix model

DOI10.1016/0025-5564(89)90031-XzbMath0675.92015WikidataQ52425304 ScholiaQ52425304MaRDI QIDQ1122539

Linda J. S. Allen

Publication date: 1989

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

zbMATH Keywords

asymptotic distributionlogistic equationimprimitivity indexconstant Leslie matrixdensity-dependent Leslie matrix modelimprimitive caseprimitive case

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21)

Related Items (11)

Effects of delay, truncations and density dependence in reproduction schedules on stability of nonlinear Leslie matrix models ⋮ Mathematical analysis of a model for a plant-herbivore system ⋮ Dynamic consequences of reproductive delay in Leslie matrix models with nonlinear survival probabilities ⋮ Technique to derive discrete population models with delayed growth ⋮ Evolutionary dynamics of a multi-trait semelparous model ⋮ Population-level effects of density dependence in a size-structured fishery model ⋮ A nonlinear continuous-time model for a semelparous species ⋮ An analysis of life history evolution in terms of the density-dependent Lefkovitch matrix model ⋮ FLUCTUATIONS AND CORRELATIONS IN POPULATION MODELS WITH AGE STRUCTURE ⋮ Asymptotic distribution of stage-grouped population models ⋮ Synchrony and the Dynamic Dichotomy in a Class of Matrix Population Models

Cites Work

• Unnamed Item
• The sensitivity of age-structured populations to environmental variability
• The period of total population
• Mathematical analysis of the asymptotic behavior of the Leslie population matrix model
• The periodic limit for the Leslie model
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS

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