Leslie matrix models (Q4353394)

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scientific article; zbMATH DE number 1059035

Language	Label	Description	Also known as
English	Leslie matrix models	scientific article; zbMATH DE number 1059035

Statements

scholarly article

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Leslie matrix models (English)

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Mathematical Population Studies

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publication date

8 February 1998

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Poul Einer Hansen

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/08898488909525291

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Estimation and Computation of the Growth Rate in Leslie's and Lotka's Population Models

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Spectral sensitivity in linear biological models

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Why a Population Converges to Stability

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Generalized stable population theory

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The rate of convergence of a generalized stable population

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On the dynamics of a population subject to slowly changing vital rates

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Population growth with stochastic fluctuations in the life table

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A general formula for the sensitivity of population growth rate to changes in life history parameters

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Fecundity, developmental time, and population growth rate: An analytical solution

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Ergodicity of Age Structure in Populations with Markovian Vital Rates, I: Countable States

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Ergodicity of age structure in populations with Markovian vital rates. II. General states

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Ergodicity of age structure in populations with Markovian vital rates, III: Finite-state moments and growth rate; an illustration

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Derivatives of the spectral radius as a function of non-negative matrix elements

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Ergodic theorems in demography

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Comparative statics and stochastic dynamics of age-structured populations

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Stability of Population Growth Determined by 2 X 2 Leslie Matrix with Density-Dependent Elements

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Mathematical analysis of the asymptotic behavior of the Leslie population matrix model

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The periodic limit for the Leslie model

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The period of total population

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Bias in estimating the Malthusian parameter for Leslie matrices

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Transformation system with time-dependent characteristics and population theory

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The sensitivity of population growth rate to perturbations in the life cycle components

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Primitivity conditions for growth matrices

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Multiplicative processes

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On an infinite population matrix

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Demographic Parameters and Natural Selection

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Statistical mechanics and population biology

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Products of Random Matrices

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On the history of populations governed by a Leslie matrix

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Convergence of the age structure: applications of the projective metric

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Stochastic models for the population growth of the sexes

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On the sensitivity of the intrinsic growth rate to changes in the age- specific birth and death rates

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Backward population projection by a generalized inverse

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Raising Leslie matrices to powers: A method and applications to demography

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Single-year reduced growth factors for population projection matrices

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Properties of the Leslie population matrix

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Primitivity of the product of two Leslie matrices

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ON THE USE OF MATRICES IN CERTAIN POPULATION MATHEMATICS

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SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS

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On the Distribution in Time of the Births in Successive Generations

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Equilibrium and local stability in a logistic matrix model for age- structured populations

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A general limit theorem for dynamic systems with an application to population growth

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Persistence of variances for stochastic, discrete-time, population growt h models

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Ergodic properties of populations. I: The one sex model

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A simple proof of the latent root sensitivity formula

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The two-sex problem with persistent unions: A generalization of the birth matrix-mating rule model

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Malthusian parameters in genetic population. I: Haploid and selfing models

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Malthusian parameters in genetic populations . II: Random mating populations in infinite habitats

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On the use of the direct matrix product in analysing certain stochastic population models

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A note on multi-type Galton-Watson processes with random branching probabilities

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Time symmetry and asymmetry in population and deterministic dynamic systems

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Generalizing Fisher's “reproductive value”: “Incipient” and “penultimate” reproductive-value functions when environment limits growth; linear approximants for nonlinear Mendelian mating models

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Some Stochastic Versions of the Matrix Model for Population Dynamics

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Primitivity of products of Leslie matrices

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Asymptotic growth and stability in populations with time dependent vital rates

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Bounds on the dominant eigenvalue of a population projection model

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Primitivity and convergence to stability

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Population dynamics in variable environments. II. Correlated environments, sensitivity analysis and dynamics

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Population dynamics and variable environments. III. Evolutionary dynamics of r-selection

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Why use population entropy? It determines the rate of convergence

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Population dynamics in variable environments. VI. Cyclical environments

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Population dynamics in variable environments. I. Long-run growth rates and extinction

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Identifiers

zbMATH Open document ID

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10.1080/08898488909525291

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4353394

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