A persistence criterion for metapopulations.

DOI10.1006/tpbi.2001.1558zbMath1040.92043OpenAlexW1997843285WikidataQ56834157 ScholiaQ56834157MaRDI QIDQ1427308

Marino Gatto, Renato Casagrandi

Publication date: 14 March 2004

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

Full work available at URL: https://doi.org/10.1006/tpbi.2001.1558

zbMATH Keywords

extinctiondispersalmetapopulationsdensity dependencedemographic stochasticityMarkovian modelslong-term distributions of population numbers

Mathematics Subject Classification ID

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Ecology (92D40)

Related Items (10)

A spatially structured metapopulation model within a stochastic environment ⋮ Kolmogorov's differential equations and positive semigroups on first moment sequence spaces ⋮ Organism-induced habitat restoration leads to bi-stability in metapopulations ⋮ The metapopulation fitness criterion: proof and perspectives ⋮ The intermediate dispersal principle in spatially explicit metapopulations ⋮ Habitat destruction, environmental catastrophes, and metapopulation extinction. ⋮ Dynamics of a metapopulation epidemic model with localized culling ⋮ Convergence of a structured metapopulation model to Levins's model ⋮ Asymptotic behavior of a metapopulation model ⋮ A METAPOPULATION MODEL WITH DISCRETE SIZE STRUCTURE

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
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• Models for spatially distributed populations: The effect of within-patch variability
• The importance of being discrete (and spatial)
• Separability of local and regional dynamics in metapopulations
• Interactions between local dynamics and dispersal: Insights from single species models
• Aggregated distributions in models for patchy populations
• Metastability, a consequence of stochastics in multiple stable population dynamics
• A mathematical model for the population dynamics of army ants
• Persistence of a Markovian population in a patchy environment
• Elements of applied bifurcation theory
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