OPTIMAL CONTROL APPLIED IN AN ANTHRAX EPIZOOTIC MODEL
OPTIMAL CONTROL APPLIED IN AN ANTHRAX EPIZOOTIC MODEL
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DOI：
10.1142/s021833901650025x
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发表时间：
2016-12-01
影响因子：
1.6
通讯作者：
Lenhart, Suzanne
中科院分区：
文献类型：
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作者：
Pantha, Buddhi;Day, Judy;Lenhart, Suzanne
炭疽病是一种迅速致命的传染病，发生在许多动物物种中，特别是食草哺乳动物，是全球多个国家公园人口下降的主要原因之一。由于受感染的动物面临不可避免的死亡，并且每个受感染的尸体都会向周围环境贡献孢子，因此受感染的尸体和受感染的动物是新感染的主要来源。因此，任何控制措施都应侧重于为易感动物接种疫苗和妥善处理受感染的尸体。本文建立了一个常微分方程组，用于模拟野生动物保护区的炭疽流行病。研究了代表易感动物的疫苗接种和受感染尸体处理的两个对照，以尽量减少受感染动物的数量、受感染尸体的数量以及疫苗接种和尸体处理的成本。利用津巴布韦马利朗圭野生动物保护区的疫情数据估计模型参数，并给出了最优控制问题的一些数值结果。
Anthrax is a rapidly fatal, infectious disease which occurs in many animal species, particularly herbivore mammals, and is one of the main causes of population decline in several national parks worldwide. As the infected animals face inevitable death and each infected carcass contributes spores to the surrounding environment, infected carcasses and the infected animals are the main sources of new infections. Thus any control measure should focus on vaccinating susceptible animals and the proper disposal of infected carcasses. In this paper, a system of ordinary differential equations modeling an anthrax epizootic in a wildlife reserve is formulated. Two controls representing vaccination of the susceptible animals and disposal of the infected carcasses are investigated in order to minimize the number of infected animals, the number of infected carcasses and the cost of vaccination and carcass disposal. Model parameters are estimated by using outbreak data from Malilangwe Wildlife Reserve, Zimbabwe, and some numerical results for the optimal control problem are presented.