Title

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

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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