Equivalent dynamics for a structured population model and a related functional differential equation

DOI10.1216/rmjm/1181072298zbMath0835.34090OpenAlexW2029173821WikidataQ115239923 ScholiaQ115239923MaRDI QIDQ1898329

Hal Leslie Smith

Publication date: 19 March 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072298

zbMATH Keywords

flowsglobal attractorsfunctional differential equationlong-term dynamicssemiflowssimple structured population model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Higher-order parabolic equations (35K25)

Related Items (9)

Optimal harvesting for a size-stage-structured population model ⋮ A system of state-dependent delay differential equation modelling forest growth. II: Boundedness of solutions ⋮ Stability and bifurcation analysis of a size-stage-structured cooperation model ⋮ A system of state-dependent delay differential equation modeling forest growth. I: Semiflow properties ⋮ Global dynamics in sea lice model with stage structure ⋮ An NPZ Model with State-Dependent Delay Due to Size-Structure in Juvenile Zooplankton ⋮ Dynamics of a neutral delay equation for an insect population with long larval and short adult phases ⋮ Maximum principle for the optimal harvesting problem of a size-stage-structured population model ⋮ Structured population models, conservation laws, and delay equations

Cites Work

• Unnamed Item
• One-to-oneness of the solution map in retarded functional differential equations
• Theory of functional differential equations. 2nd ed
• A structured population model and a related functional differential equation: Global attractors and uniform persistence
• Reduction of structured population models to threshold-type delay equations and functional differential equations: A case study

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