Department of Mathematics, Kennesaw State University, 275 Kennesaw State University Rd., MD#1102, Kennesaw, GA, 30144, USA.
Bull Math Biol. 2019 Jan;81(1):235-255. doi: 10.1007/s11538-018-0525-0. Epub 2018 Oct 24.
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.
炭疽是一种致命的传染病，可感染动物和人类。炭疽在动物中周期性爆发，由于与动物死亡相关的巨大经济后果，对食草动物尤为关注。本研究旨在制定最佳控制干预措施，重点是为易感动物接种疫苗和/或清除受感染的尸体。我们的数学目标是在减少干预成本的同时，最大限度地减少感染动物的数量。最佳控制干预措施是从理论上推导出来的，并给出了具有结论的数值结果。
