React or wait: which optimal culling strategy to control infectious diseases in wildlife

DOI10.1007/s00285-013-0726-yzbMath1301.49046OpenAlexW1994740861WikidataQ42246892 ScholiaQ42246892MaRDI QIDQ464789

Luca Bolzoni, Giulio A. De Leo, Valentina Tessoni, Maria Groppi

Publication date: 30 October 2014

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-013-0726-y

zbMATH Keywords

optimal controlSI modelculling strategyhost demographywildlife diseases

Mathematics Subject Classification ID

Epidemiology (92D30) Optimality conditions for problems involving ordinary differential equations (49K15)

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Cites Work

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• Body-size scaling in an SEI model of wildlife diseases
• Optimal vaccine distribution in a spatiotemporal epidemic model with an application to rabies and raccoons
• Optimal control of epidemics with limited resources
• Optimal control of vaccine distribution in a rabies metapopulation model
• On the order of singular optimal control problems
• Dependence of epidemic and population velocities on basic parameters
• Optimal isolation policies for deterministic and stochastic epidemics
• Optimal control for pandemic influenza: the role of limited antiviral treatment and isolation
• Chemotherapy for tumors: An analysis of the dynamics and a study of quadratic and linear optimal controls
• Optimal Screening in Structured SIR Epidemics
• JOINTLY-DETERMINED ECOLOGICAL THRESHOLDS AND ECONOMIC TRADE-OFFS IN WILDLIFE DISEASE MANAGEMENT
• The infinite-order singular problem
• On the optimal control of a deterministic epidemic
• The High Order Maximal Principle and Its Application to Singular Extremals
• On Optimal Control Problems with Bounded State Variables and Control Appearing Linearly
• Optimal immunisation policies for epidemics
• Optimal control of a rabies epidemic model with a birth pulse
• Optimal control of deterministic epidemics
• An optimal isolation policy for an epidemic