Optimal harvesting and optimal vaccination

DOI10.1016/j.mbs.2005.09.001zbMath1114.92066OpenAlexW1964300903WikidataQ44773675 ScholiaQ44773675MaRDI QIDQ997314

Johannes Müller, Karl Peter Hadeler

Publication date: 23 July 2007

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2005.09.001

zbMATH Keywords

optimizationinfectious diseasestructured populationculling

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of optimal control and differential games (49N90) Ecology (92D40)

Related Items (13)

Karl-Peter Hadeler: his legacy in mathematical biology ⋮ OVERTAKING OPTIMAL HARVESTING OF AGE-STRUCTURED PREDATOR-PREY SYSTEMS ⋮ An age-structured epidemic model of rotavirus with vaccination ⋮ Control Strategies for TB Epidemics ⋮ Global stability of an age-structured SIR epidemic model with pulse vaccination strategy ⋮ Analysis of steady state solutions to an age structured SEQIR model with optimal vaccination ⋮ An optimal birth control problem for a dynamical population model with size-structure ⋮ On the optimal harvesting of size-structured population dynamics ⋮ Unnamed Item ⋮ Harvesting renewable resources of population with size structure and diffusion ⋮ Well posedness and control in a nonlocal SIR model ⋮ Reproductive value, sensitivity, and nonlinearity: population-management heuristics derived from classical demography ⋮ Double control problems of age-distributed population dynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pontryagin's principle for control problems in age-dependent population dynamics
• The ultimate-sustainable-yield problem in nonlinear age-structured populations
• On the optimal harvesting of persistent age-structured populations
• On the optimal harvesting of age-structured populations: Some simple models
• Optimal harvesting of an age-structured population
• Optimal harvesting policy for an age-specific population
• Optimal harvesting of structured populations
• Waning immunity and its effects on vaccination schedules
• Optimal vaccination strategies -- for whom?
• Backward bifurcation in epidemic control
• Optimal vaccination patterns in age-structured populations: endemic case.
• Vaccination strategies and backward bifurcation in an age-since-infection structured model
• Non-linear age-dependent population dynamics
• Deterministic models for the eradication of poliomyelitis: Vaccination with the inactivated (IPV) and attenuated (OPV) polio virus vaccine
• A core group model for disease transmission
• Vaccination campaigns for common childhood diseases
• Optimum Age-Specific Harvesting in a Nonlinear Population Model
• Harvesting in Matrix Population Models
• Optimal Harvesting for Periodic Age-Dependent Population Dynamics
• Optimal Vaccination Patterns in Age-Structured Populations
• Convex Programming and Duality in Normed Space

This page was built for publication: Optimal harvesting and optimal vaccination