An Optimal Control Model to Reduce and Eradicate Anthrax Disease in Herbivorous Animals
Department
Mathematics
Document Type
Article
Publication Date
10-24-2018
Abstract
Anthrax is a fatal infectious disease which can affect animals and humans alike. Anthrax outbreaks occur periodically in animals, and they are of particular concern in herbivores, due to substantial economic consequences associated with animal death. The purpose of this study is to develop optimal control interventions that focus on vaccinating susceptible animals and/or removing infected carcasses. Our mathematical goal is to minimize the infectious animal population while reducing the cost of interventions. Optimal control interventions are derived theoretically, and numerical results with conclusions are presented.
Journal Title
Bulletin of Mathematical Biology
Journal ISSN
1522-9602
Volume
81
Issue
1
First Page
235
Last Page
255
Digital Object Identifier (DOI)
10.1007/s11538-018-0525-0
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