Effects of delay, truncations and density dependence in reproduction schedules on stability of nonlinear Leslie matrix models

DOI10.1007/BF00163922zbMath0853.92019OpenAlexW2049470408MaRDI QIDQ2365854

Thomas G. Hallam, Jacques A. L. Silva

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1007/bf00163922

zbMATH Keywords

stabilityinstabilitybifurcationdensity dependent effectsdiscrete Leslie matrix modelsdiscrete time, nonlinear, age structured population modelreproductive classesreproductive delaytruncation of lifetime

Mathematics Subject Classification ID

Related Items (16)

Stability in an age-structured metapopulation model ⋮ Three stage semelparous Leslie models ⋮ Compensatory and overcompensatory dynamics in prey-predator systems exposed to harvest ⋮ Reproductive schedules in a density-dependent recruitment model ⋮ An analysis of discrete stage-structured prey and prey-predator population models ⋮ Dynamic consequences of reproductive delay in Leslie matrix models with nonlinear survival probabilities ⋮ Stage-dependent predation on prey species who possess different life histories ⋮ Stable bifurcations in semelparous Leslie models ⋮ An analysis of a semelparous population model with density-dependent fecundity and density-dependent survival probabilities ⋮ An Age-Dependent Metapopulation Model ⋮ Age or stage structure? ⋮ On synchronization in semelparous populations ⋮ Periodic dynamics in a two-stage Allee effect model are driven by tension between stage equilibria ⋮ Four-periodicity in Leslie matrix models with density dependent survival probabilities ⋮ Nonstationary and chaotic dynamics in age-structured population models ⋮ Global asymptotic behavior for a discrete model of population dynamics

Cites Work

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• Harvesting discrete nonlinear age and stage structured populations
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• A density-dependent Leslie matrix model
• Analysis of an age-structured fishery model
• The sensitivity of age-structured populations to environmental variability
• A delayed-recruitment model of population dynamics, with an application to baleen whale populations
• A note on difference-delay equations
• The dynamics of density dependent population models
• NONLINEAR MATRIX MODELS AND POPULATION DYNAMICS
• Optimum Age-Specific Harvesting in a Nonlinear Population Model
• ON THE USE OF MATRICES IN CERTAIN POPULATION MATHEMATICS

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