Existence and uniqueness of global solutions for a size-structured model of an insect population with variable instar duration

DOI10.1216/rmjm/1181072468zbMath0810.92022OpenAlexW1971718558MaRDI QIDQ1335224

Hal Leslie Smith

Publication date: 27 September 1994

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

Full work available at URL: https://doi.org/10.1216/rmjm/1181072468

zbMATH Keywords

existence and uniqueness theoremthreshold modelsize-structured modeltime variable instar stagesweight gain threshold condition

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

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Cites Work

• The systematic formulation of population models for insects with dynamically varying instar duration
• Theory of functional differential equations. 2nd ed
• Reduction of structured population models to threshold-type delay equations and functional differential equations: A case study
• A problem in the theory of epidemics
• A problem in the theory of epidemics. II
• Existence and uniqueness of solutions of a functional differential equation modeling thresholds
• A system of functional differential equations modeling threshold phenomena
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