Stochastic stable population growth in integral projection models: theory and application

DOI10.1007/s00285-006-0044-8zbMath1116.92050OpenAlexW2114843949WikidataQ42604414 ScholiaQ42604414MaRDI QIDQ883807

Stephen P. Ellner, Mark Rees

Publication date: 12 June 2007

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-006-0044-8

zbMATH Keywords

Hilbert's projective metrixIntegral projection modelsOnopordum illyricumStochastic demographyStructured populations

Mathematics Subject Classification ID

Applications of game theory (91A80) Population dynamics (general) (92D25) Stochastic integrals (60H05) Applications of functional analysis in probability theory and statistics (46N30)

Related Items (16)

Derivatives of the stochastic growth rate ⋮ Sensitivity and elasticity analysis of a Lur'e system used to model a population subject to density-dependent reproduction ⋮ Persistence and extinction in stochastic delay logistic equation by incorporating Ornstein-Uhlenbeck process ⋮ Reproduction number versus turnover number in structured discrete-time population models ⋮ Tipping Points in Seed Dispersal Mutualism Driven by Environmental Stochasticity ⋮ Effects of demographic structure on key properties of stochastic density-independent population dynamics ⋮ Temporally variable dispersal and demography can accelerate the spread of invading species ⋮ Modeling and analysis of a density-dependent stochastic integral projection model for a disturbance specialist plant and its seed bank ⋮ Inference for size demography from point pattern data using integral projection models ⋮ Global asymptotic stability of density dependent integral population projection models ⋮ Scaling integral projection models for analyzing size demography ⋮ Discrete-time population dynamics of spatially distributed semelparous two-sex populations ⋮ Discrete-time dynamics of structured populations via Feller kernels ⋮ Impacts of demographic and environmental stochasticity on population dynamics with cooperative effects ⋮ Optimal life schedule with stochastic growth in age-size structured models: theory and an application ⋮ Optimal control of integrodifference equations in a pest-pathogen system

Uses Software

• R

Cites Work

• Markov chains and stochastic stability
• Dispersion population models discrete in time and continuous in space
• A central limit theorem for the subadditive process and its application to products of random matrices
• On the formulation and analysis of general deterministic structured population models. II. Nonlinear theory
• On the formulation and analysis of general deterministic structured population models. I: Linear theory
• A theory of Fisher's reproductive value
• Asymptotic properties of a continuous-space discrete-time population model in a random environment
• Extensions of Jentzsch's Theorem
• An Integral Equation Arising from a Problem in Mathematical Biology
• A Comparison of Dispersal Strategies for Survival of Spatially Heterogeneous Populations
• Stochastic stable population growth
• Ergodicity of Age Structure in Populations with Markovian Vital Rates, I: Countable States
• Ergodicity of age structure in populations with Markovian vital rates. II. General states
• Hilbert's Projective Metric and the Spectral Properties of Positive Linear Operators
• Products of Random Matrices
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Stochastic stable population growth in integral projection models: theory and application