An analysis of life history evolution in terms of the density-dependent Lefkovitch matrix model

DOI10.1016/0025-5564(92)90091-AzbMath0761.92044OpenAlexW2034268758WikidataQ43595236 ScholiaQ43595236MaRDI QIDQ1205292

Takenori Takada, Hisao Nakajima

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1016/0025-5564(92)90091-a

zbMATH Keywords

eigenvectorsmortalitynatural selectionstage-structured populationequilibrium statereproductiondensity-dependent Lefkovitch matrix modelevolution of demographic characteristicsevolution of perennial plantsinvadability conditionmonocarpic perennialsmutant-type populationspolycarpic perennialwild-type population

Mathematics Subject Classification ID

Problems related to evolution (92D15) Population dynamics (general) (92D25) Ecology (92D40)

Related Items

How much does an individual habitat fragment contribute to metapopulation dynamics and persistence?, Elasticity analysis of density-dependent matrix population models: the invasion exponent and its substitutes, What life cycle graphs can tell about the evolution of life histories, Fixed point sensitivity analysis of interacting structured populations, Asymptotic distribution of stage-grouped population models, Construction of Lefkovitch and doubly Lefkovitch matrices with maximal eigenvalues and some diagonal elements prescribed, Sensitivity and elasticity of density-dependent population models, Selection in two-sex stage-structured populations: genetics, demography, and polymorphism, A bifurcation theorem for Darwinian matrix models and an application to the evolution of reproductive life-history strategies, Equivalence relationships between stage-structured population models

Cites Work

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• A density-dependent Leslie matrix model
• The sensitivity of age-structured populations to environmental variability
• The dynamics of density dependent population models
• ON THE USE OF MATRICES IN CERTAIN POPULATION MATHEMATICS