Absolute stability in delay equations

DOI10.1016/0022-0396(87)90116-1zbMath0636.34063OpenAlexW2072493736MaRDI QIDQ1097999

Fred Brauer

Publication date: 1987

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(87)90116-1

zbMATH Keywords

delay equationcharacteristic equation

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20)

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Cites Work

• Unnamed Item
• Unnamed Item
• Differential-difference equations
• The systematic formulation of population models for insects with dynamically varying instar duration
• Stability of stage-structured population models
• Stability analysis for models of diseases without immunity
• Instability and complex dynamic behaviour in population models with long time delays
• Constant rate population harvesting: Equilibrium and stability
• Introduction to the theory and application of differential equations with deviating arguments. Translated from the Russian by John L. Casti
• A CLASS OF VOLTERRA INTEGRAL EQUATIONS ARISING IN DELAYED-RECRUITMENT POPULATION MODELS

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