On synchronization in semelparous populations

DOI10.1007/s00285-004-0275-5zbMath1055.92045OpenAlexW2056135348WikidataQ51978960 ScholiaQ51978960MaRDI QIDQ1764641

Xianqiang Yang

Publication date: 25 February 2005

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

Full work available at URL: https://doi.org/10.1007/s00285-004-0275-5

zbMATH Keywords

SynchronizationNonlinear dynamicsAge-structured population modelsNonlinear Leslie matrix modelsSingle year class dynamics

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Additive difference equations (39A10)

Related Items (16)

Three stage semelparous Leslie models ⋮ An analysis of discrete stage-structured prey and prey-predator population models ⋮ Fluctuations in lifetime selection in an autocorrelated environment ⋮ A hybrid model for the population dynamics of periodical cicadas ⋮ Evolutionary dynamics of a multi-trait semelparous model ⋮ Periodic orbits near heteroclinic cycles in a cyclic replicator system ⋮ Single-class orbits in nonlinear Leslie matrix models for semelparous populations ⋮ Stable bifurcations in semelparous Leslie models ⋮ An analysis of a semelparous population model with density-dependent fecundity and density-dependent survival probabilities ⋮ Year-class coexistence in biennial plants ⋮ Age or stage structure? ⋮ On circulant populations. I: The algebra of semelparity ⋮ The winner takes it all: how semelparous insects can become periodical ⋮ Bifurcations of cycles in nonlinear semelparous Leslie matrix models ⋮ Nonstationary and chaotic dynamics in age-structured population models ⋮ Global dynamics of a special class of nonlinear semelparous Leslie matrix models

Cites Work

• Overcompensatory recruitment and generation delay in discrete age-structured population models
• Stability of discrete age-structured and aggregated delay-difference population models
• Analysis of an age-structured fishery model
• Dynamic consequences of reproductive delay in Leslie matrix models with nonlinear survival probabilities
• Periodical cicadas
• Density-dependent vital rates and their population dynamic consequences
• On circulant populations. I: The algebra of semelparity
• Year class coexistence or competitive exclusion for strict biennials?
• Effects of delay, truncations and density dependence in reproduction schedules on stability of nonlinear Leslie matrix models
• Periodicity versus Chaos in One-Dimensional Dynamics
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