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Paper Citation Record · LEDGER

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux

As of 13 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 2 inbound Pith citation observations for arXiv:2607.03790.

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pith.paper-citation-record.v1
2607.03790 v1

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measured 56 of 56 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-11T23:56:45.024176Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T14:24:54.724459Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

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Reference resolution

56 of 56 outbound references displayed

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Outbound references

Observation e47a51bb-6074-4f7d-ab94-17efd759d7a2 · outbound

This paper cites Springer, 2014.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Springer, 2014

Reference 1

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Observation f883d39d-6dca-4ae5-959e-70355e6f5c73 · outbound

This paper cites Non-linear age-dependent population dynamics.Archive for Rational Mechanics and Analysis, 54(3):281–300, 1974.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Non-linear age-dependent population dynamics.Archive for Rational Mechanics and Analysis, 54(3):281–300, 1974

Reference 2

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source=pdf_text observed=2026-07-11T23:56:45.024176Z digest=sha256:f29981659493da133a8c8e006840b9b12ed03c3e9596b63d058a24b4e547ebea

Observation a3a7b4a0-63c9-4140-a118-b837ea6849bb · outbound

This paper cites CRC Press, 1985.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux CRC Press, 1985

Reference 3

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Observation 41ff3ca4-5ad0-4e8e-ac25-3f0db5122e45 · outbound

This paper cites Mathematical theory of age-structured population dynamics.Giardini Editori e Stampatori in Pisa, 1995.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Mathematical theory of age-structured population dynamics.Giardini Editori e Stampatori in Pisa, 1995

Reference 4

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Observation 7bf69dd9-9125-43d3-9b54-b5ff2398d688 · outbound

This paper cites Analysis framework for stochastic predator–prey model with demographic noise.Results in Applied Mathematics, 27:100621, 2025.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Analysis framework for stochastic predator–prey model with demographic noise.Results in Applied Mathematics, 27:100621, 2025

Reference 5

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Observation 25ff25ae-cdd9-4248-83ed-f13f5fe737ad · outbound

This paper cites Springer, 2007.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Springer, 2007

Reference 6

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Observation 7b945c80-f02f-4f41-a3c8-4394ffb2fe24 · outbound

This paper cites Springer, 2018.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Springer, 2018

Reference 7

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Observation f48b3663-ec91-4930-840f-d4d602e5c361 · outbound

This paper cites SIAM, 1998.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux SIAM, 1998

Reference 8

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Observation 589618ce-2ad7-4438-8d01-2c5884ec508d · outbound

This paper cites Multiscale population dynamics in reproductive biology: singular perturbation reduction in deterministic and stochastic models.ESAIM: Proceedings and Surveys, 67:72–99, 2020.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Multiscale population dynamics in reproductive biology: singular perturbation reduction in deterministic and stochastic models.ESAIM: Proceedings and Surveys, 67:72–99, 2020

Reference 9

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Observation 41221b3c-6951-4929-a0e6-b0739d688a0b · outbound

This paper cites From microscopic damage to macroscopic games: a dimensionality reduction of stem cell homeostasis.Transport Phenomena, 1(2):20260037, 2026.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux From microscopic damage to macroscopic games: a dimensionality reduction of stem cell homeostasis.Transport Phenomena, 1(2):20260037, 2026

Reference 10

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Observation 2db4b6cb-cc62-4e25-88c1-27200f6c3a0a · outbound

This paper cites A structured population model of cell differentiation.SIAM Journal on Applied Mathematics, 71(6):1918–1940, 2011.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux A structured population model of cell differentiation.SIAM Journal on Applied Mathematics, 71(6):1918–1940, 2011

Reference 11

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Observation 4391d056-bfd7-4a41-bd4d-968ee76c170f · outbound

This paper cites Globalwell-posednessandstabilityofnonlocaldamage-structuredlineagemodel with feedback and dedifferentiation.Mathematics, 13(22):3583, 2025.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Globalwell-posednessandstabilityofnonlocaldamage-structuredlineagemodel with feedback and dedifferentiation.Mathematics, 13(22):3583, 2025

Reference 12

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Observation 9d2308e4-ef0d-4917-8d2d-38ddaa6849ee · outbound

This paper cites Production, development, and maturation of red blood cells: a mathematical model.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Production, development, and maturation of red blood cells: a mathematical model

Reference 13

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Observation e20c7cd1-7706-46e8-9b04-d1b00db74774 · outbound

This paper cites A damage-structured pde model of stem cell hierarchies: The dual role of dedifferentiation in tissue homeostasis and aging.Plos one, 21(2):e0335163, 2026.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux A damage-structured pde model of stem cell hierarchies: The dual role of dedifferentiation in tissue homeostasis and aging.Plos one, 21(2):e0335163, 2026

Reference 14

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Observation 67c6bf5f-d04e-4db5-999a-19819157d106 · outbound

This paper cites an unresolved cited work.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Unresolved cited work

Reference 15

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Observation f4ba6111-ebcb-45ef-976b-9be39b8a085a · outbound

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Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Unresolved cited work

Reference 16

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Observation c4386b2b-dbd6-468f-b14f-a577d85d63a0 · outbound

This paper cites Global dynamics in sea lice model with stage structure.Nonlinear Analysis: Real World Applications, 44:283–304, 2018.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Global dynamics in sea lice model with stage structure.Nonlinear Analysis: Real World Applications, 44:283–304, 2018

Reference 17

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Observation bc5b8be4-a453-4bef-aec4-ac4567c82088 · outbound

This paper cites Bidirectionalendothelialfeedbackdrivesturing-vascular patterning and drug-resistance niches: a hybrid pde-agent-based study.Bioengineering, 12(10):1097, 2025.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Bidirectionalendothelialfeedbackdrivesturing-vascular patterning and drug-resistance niches: a hybrid pde-agent-based study.Bioengineering, 12(10):1097, 2025

Reference 18

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Observation 16d97bcf-ab6a-4cea-845d-a9396b27ab00 · outbound

This paper cites Controllabilityforascalarconservationlawwithnonlocalvelocity.JournalofDifferentialEquations, 252(1):181–201, 2012.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Controllabilityforascalarconservationlawwithnonlocalvelocity.JournalofDifferentialEquations, 252(1):181–201, 2012

Reference 19

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Observation fa3218ab-3da7-42df-bf95-fdff574a4043 · outbound

This paper cites Controllability for a highly re-entrant manufacturing system with local and nonlocal velocity.European Journal of Control, 67:100716, 2022.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Controllability for a highly re-entrant manufacturing system with local and nonlocal velocity.European Journal of Control, 67:100716, 2022

Reference 20

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Observation 4910f278-dea3-4e11-809e-6247502c65b6 · outbound

This paper cites Analysis and control of a scalar conservation law modeling a highly re-entrant manufacturing system.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Analysis and control of a scalar conservation law modeling a highly re-entrant manufacturing system

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Observation 3f478115-6f0d-4548-9fbe-7ef2cebb8b3d · outbound

This paper cites Algebraic–spectralthresholdsanddiscrete–continuousstabilitytransferinleslie–gowersystems.Electronic Research Archive, 34(1):251–290, 2026.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Algebraic–spectralthresholdsanddiscrete–continuousstabilitytransferinleslie–gowersystems.Electronic Research Archive, 34(1):251–290, 2026

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Observation 42149a17-0052-4f22-ba31-59f62ba478e1 · outbound

This paper cites Amodelofphysiologicallystructuredpopulationdynamicswithanonlinearindividualgrowthrate.Journal of Mathematical Biology, 33(4):335–364, 1995.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Amodelofphysiologicallystructuredpopulationdynamicswithanonlinearindividualgrowthrate.Journal of Mathematical Biology, 33(4):335–364, 1995

Reference 23

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Observation c1941293-6579-4dd4-be59-5424cab47351 · outbound

This paper cites A general model of size-dependent population dynamics with nonlinear growth rate.Journal of mathematical analysis and applications, 297(1):234–256, 2004.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux A general model of size-dependent population dynamics with nonlinear growth rate.Journal of mathematical analysis and applications, 297(1):234–256, 2004

Reference 24

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Observation 07c80959-d413-4b97-bb32-ae9fd82ee455 · outbound

This paper cites Rigorous analysis of a nonlocal transport–renewal system for physiologically structured populations.Mathematical Methods in the Applied Sciences, 2026.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Rigorous analysis of a nonlocal transport–renewal system for physiologically structured populations.Mathematical Methods in the Applied Sciences, 2026

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Observation 1ea2de0c-fc7a-467f-9188-a3f5915cd098 · outbound

This paper cites Optimal harvesting for nonlinear size-structured populations with nonlocal environmental feedback.Mathematics, 14(11):2025, 2026.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Optimal harvesting for nonlinear size-structured populations with nonlocal environmental feedback.Mathematics, 14(11):2025, 2026

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Observation aaeae590-933c-4517-bf68-70a17c232684 · outbound

This paper cites Optimalcontrolofcoffeeberryborers:synergy between bio-insecticide and traps.Journal of Optimization Theory and Applications, 196(3):882–899, 2023.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Optimalcontrolofcoffeeberryborers:synergy between bio-insecticide and traps.Journal of Optimization Theory and Applications, 196(3):882–899, 2023

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Observation 533c20bf-fd9f-4b2d-8651-1a33d81a399b · outbound

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Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Unresolved cited work

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Observation 65f5c9a9-b389-4456-9745-01d284becf38 · outbound

This paper cites A population harvesting model with time and size competition dependence function.Journal of Optimization Theory and Applications, 195(2):647–665, 2022.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux A population harvesting model with time and size competition dependence function.Journal of Optimization Theory and Applications, 195(2):647–665, 2022

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Observation 2297569e-893d-430b-8019-d4bef503c9b8 · outbound

This paper cites an unresolved cited work.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Unresolved cited work

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Observation cb10184d-ca47-48cc-b4f6-0bbf4ea31928 · outbound

This paper cites An adaptative model for a multistage structured population under fluctuating environment.Discrete & Continuous Dynamical Systems-Series B, 25(6), 2020.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux An adaptative model for a multistage structured population under fluctuating environment.Discrete & Continuous Dynamical Systems-Series B, 25(6), 2020

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Observation b37bce35-0b70-4c45-b7ab-11c04320ec16 · outbound

This paper cites Well-posedness and bifurcation analysis of a size-structured population model: Application to female gametes dynamics.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Well-posedness and bifurcation analysis of a size-structured population model: Application to female gametes dynamics

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Observation 91d27b00-8403-4041-9eb9-b99dcfcd80c4 · outbound

This paper cites Measure-valuedsolutionsforahierarchicallysize-structuredpopulation.JournalofDifferentialEquations, 217(2):431–455, 2005.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Measure-valuedsolutionsforahierarchicallysize-structuredpopulation.JournalofDifferentialEquations, 217(2):431–455, 2005

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Observation 28ed1dbb-1bd9-4852-b91b-e47e1406100e · outbound

This paper cites Integralandintegro-differentialequationswithmeasure-valuedsolutionsdescribingtheevolutionofstructuredpopulations.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Integralandintegro-differentialequationswithmeasure-valuedsolutionsdescribingtheevolutionofstructuredpopulations

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Observation 9f84eb23-e82c-4b62-a46c-2890b4c3fa8a · outbound

This paper cites Modelling physiologically structured populations: renewal equations and partial differential equations.Journal of Evolution Equations, 23(3):46, 2023.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Modelling physiologically structured populations: renewal equations and partial differential equations.Journal of Evolution Equations, 23(3):46, 2023

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Observation f5803886-1765-4af0-b121-2a9b1eb66657 · outbound

This paper cites Thebreakdownoflinearquasi-cycles:Demographicnoiseandabsorbingboundaries in finite predator–prey systems.Electronic Research Archive, 34(6):4248–4289, 2026.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Thebreakdownoflinearquasi-cycles:Demographicnoiseandabsorbingboundaries in finite predator–prey systems.Electronic Research Archive, 34(6):4248–4289, 2026

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Observation 03d3e3c2-15e3-407a-9b17-eae3209f9e63 · outbound

This paper cites Stabilityandregularityresultsforasize-structuredpopulationmodel.JournalofMathematicalAnalysis and Applications, 328(1):119–136, 2007.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Stabilityandregularityresultsforasize-structuredpopulationmodel.JournalofMathematicalAnalysis and Applications, 328(1):119–136, 2007

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Observation 172117c7-3163-4740-a1ac-35bd524e9369 · outbound

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Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Steady-state analysis of structured population models.Theoretical population biology, 63(4):309–338, 2003

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Observation 8ce021fe-2e09-4e50-8c6d-3243db7b6ec6 · outbound

This paper cites Transport equations with inflow boundary conditions.Partial Differential Equations and Applications, 3(3):35, 2022.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Transport equations with inflow boundary conditions.Partial Differential Equations and Applications, 3(3):35, 2022

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Observation 14bdeaea-8389-4d72-b0aa-d69cdb1ad694 · outbound

This paper cites Beyond diagonal noise: A better predator-prey modeling framework with cross-covariance.PLoS One, 21(5):e0350127, 2026.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Beyond diagonal noise: A better predator-prey modeling framework with cross-covariance.PLoS One, 21(5):e0350127, 2026

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Observation 56a78cde-8963-4789-9788-06692250eff7 · outbound

This paper cites Oxford university press, 2000.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Oxford university press, 2000

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Observation ae85751e-47aa-45ef-8c03-404194470a94 · outbound

This paper cites Pontryagin’s principle for control problems in age-dependent population dynamics.Journal of Mathematical Biology, 23(1):75–101, 1985.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Pontryagin’s principle for control problems in age-dependent population dynamics.Journal of Mathematical Biology, 23(1):75–101, 1985

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Observation 692ba040-2124-4a49-928d-0c6169a04bbd · outbound

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Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Unresolved cited work

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Observation ba7c3f41-a418-4713-bfda-63d16338c3ea · outbound

This paper cites Springer Science & Business Media, 2012.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Springer Science & Business Media, 2012

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Observation 5efd4d83-566b-4d45-81bf-7be112965ea7 · outbound

This paper cites Springer Science & Business Media, 2013.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Springer Science & Business Media, 2013

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Observation 3a339f5b-cce5-4ffa-8872-0f91f9dc0932 · outbound

This paper cites Multi-strategy hybrid improved intelligent algorithm for solving uav-mtsp.Information Technology and Control, 54(2):413–438, 2025.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Multi-strategy hybrid improved intelligent algorithm for solving uav-mtsp.Information Technology and Control, 54(2):413–438, 2025

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Observation d917ccc4-e455-4d65-a05a-c042d8275974 · outbound

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Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Unresolved cited work

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Observation 297600f3-ad96-4b1b-909d-09daa74f4d72 · outbound

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Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Optimal harvesting for periodic age-dependent population dynamics

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Observation a37bd5c1-ee6f-4027-8faa-f555e27b52d0 · outbound

This paper cites Optimal control of population dynamics.Journal of optimization theory and applications, 102(1):1–14, 1999.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Optimal control of population dynamics.Journal of optimization theory and applications, 102(1):1–14, 1999

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Observation 37c2afa5-21e8-4945-b348-a6d83ab53aea · outbound

This paper cites Maximumprincipleforoptimalharvestinginlinearsize-structuredpopulation.MathematicalPopulationStudies,15(2):123– 136, 2008.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Maximumprincipleforoptimalharvestinginlinearsize-structuredpopulation.MathematicalPopulationStudies,15(2):123– 136, 2008

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Observation 5b32d3a0-951c-47e8-ad7e-da1a5e7d66a7 · outbound

This paper cites Optimal development problem for a nonlinear population model with size structure in a periodic environment.AIMS MATHEMATICS, 10(5):12726–12744, 2025.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Optimal development problem for a nonlinear population model with size structure in a periodic environment.AIMS MATHEMATICS, 10(5):12726–12744, 2025

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Observation 504bb7f9-97e1-444a-9809-ce94eeaafe5a · outbound

This paper cites Rollingpredictionmodelofclosingpricebasedoneemddatanoisereductionandhgs-delm.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Rollingpredictionmodelofclosingpricebasedoneemddatanoisereductionandhgs-delm

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Observation fa22f618-4550-4db2-8595-84c9a1b0b1b6 · outbound

This paper cites Maximum principle for a size-structured model of forest and carbon sequestration management.Applied Mathematics Letters, 21(10):1090–1094, 2008.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux Maximum principle for a size-structured model of forest and carbon sequestration management.Applied Mathematics Letters, 21(10):1090–1094, 2008

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Observation 8122c3c4-8701-4cdb-9e12-d405270490b1 · outbound

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Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux A bang–bang regime in optimal harvesting of size-structured populations.Nonlinear Analysis: Theory, Methods & Applications, 71(12):e2331–e2336, 2009

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Observation 02f9c9c2-9398-4a27-a2ed-93d628cccf3a · outbound

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Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux na, 2012

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Observation c51511d5-e204-463a-bbbf-a2a8baa488fc · outbound

This paper cites On the infinite-horizon optimal control of age-structured systems.Journal of Optimization Theory and Applications, 167(1):243–271, 2015.

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux On the infinite-horizon optimal control of age-structured systems.Journal of Optimization Theory and Applications, 167(1):243–271, 2015

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Pith citing papers

Observation af9c8946-ab3b-4acc-88c2-ea1d67803730 · inbound

Multiplier Sensitivity in Isoperimetric Optimal Control cites this paper.

Multiplier Sensitivity in Isoperimetric Optimal Control Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux

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Observation 84a0f4ce-7054-4493-b87c-6c7ffd738ab9 · inbound

Reflected Optimal Stopping with a Max-Type Payoff: Measure-Valued Stopping Gains and Killed Resolvent Representation cites this paper.

Reflected Optimal Stopping with a Max-Type Payoff: Measure-Valued Stopping Gains and Killed Resolvent Representation Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux

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