Stability of stage-structured population models

DOI10.1016/0022-247X(87)90041-2zbMath0634.92014MaRDI QIDQ1097196

Ma Zhien, Fred Brauer

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

rootscharacteristic equationdifferential-difference equationslinearization techniquesEquilibriastage-structured population models

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Asymptotic stability in control theory (93D20) Stability theory for smooth dynamical systems (37C75)

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Cites Work

• Differential-difference equations
• The systematic formulation of population models for insects with dynamically varying instar duration
• Stability analysis for models of diseases without immunity