Oscillations in age-structured population models with an Allee effect

DOI10.1016/0377-0427(94)90349-2zbMath0808.92022OpenAlexW2019680013MaRDI QIDQ1342917

Jim M. Cushing

Publication date: 15 March 1995

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90349-2

zbMATH Keywords

maturation delaynumerical solutionsage-structured populationAllee effectbirth ratesynchronous oscillationsstable equilibriaage-specific fertility windownonautonomous ordinary differential delay equationnonlinear density effects

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (14)

Non-autonomous periodic systems with Allee effects ⋮ Towards a Theory of Periodic Difference Equations and Its Application to Population Dynamics ⋮ Species decline and extinction: synergy of infectious disease and Allee effect? ⋮ Extinction and the Allee effect in an age structured Ricker population model with inter-stage interaction ⋮ A simple epidemiological model for populations in the wild with Allee effects and disease-modified fitness ⋮ Periodic unimodal Allee maps, the semigroup property and the \(\lambda\)-Ricker map with Allee effect ⋮ Dynamics of SI models with both horizontal and vertical transmissions as well as Allee effects ⋮ Single-class orbits in nonlinear Leslie matrix models for semelparous populations ⋮ Asymptotic stability of delayed consumer age-structured population models with an Allee effect ⋮ Difference equations with the Allee effect and the periodic Sigmoid Beverton–Holt equation revisited ⋮ Periodic dynamics in a two-stage Allee effect model are driven by tension between stage equilibria ⋮ A biographical sketch of Robert J. Sacker ⋮ Density-dependent feedback in age-structured populations ⋮ The stability of nonlinear age-dependent population equation

Cites Work

• A dynamic model for human population growth
• On the linearization of Volterra integral equations
• Asymptotic behavior of solutions of differential-difference equations.
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