Characteristic return times for harvested population models with time lag

DOI10.1016/0025-5564(79)90064-6zbMath0412.92017OpenAlexW2047647987MaRDI QIDQ1259990

Fred Brauer

Publication date: 1979

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(79)90064-6

zbMATH Keywords

perturbationtime lagdifferential-difference equationasymptotically stable equilibriumrate of return to equilibriumcharacteristic return timesharvested populations models

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20)

Related Items (5)

Optimal harvesting of a renewable economic resource in a model with Bertalanffy growth law. I ⋮ Discrete delay, distributed delay and stability switches ⋮ Recruitment variability and age structure in harvested animal populations ⋮ A simple nonlinear model for the exploitation of renewable economic resources ⋮ The trade-off between mutual interference and time lags in predator-prey systems

Cites Work

• Differential-difference equations
• Constant rate population harvesting: Equilibrium and stability
• Stability of some population models with delay
• Decay Rates for Solutions of a Class of Differential-Difference Equations
• Roots of the Transcendental Equation Associated with a Certain Difference-Differential Equation
• Unnamed Item

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