Optimal Control Applied to a Fractional-Order Foot-and-Mouth Disease Model

被引：0

作者：

Gashirai T.B. ^{[1
]}

Hove-Musekwa S.D. ^{[1
]}

Mushayabasa S. ^{[2
]}

机构：

[1] Department of Applied Mathematics, National University of Science and Technology, P. O. Box 939, Ascot, Bulawayo

[2] Department of Mathematics and Computational Sciences, University of Zimbabwe, P.O. Box MP 167, Harare

来源：

International Journal of Applied and Computational Mathematics | 2021年 / 7卷 / 3期

关键词：

Epidemiological models; Foot-and-mouth disease; Fractional calculus; Mathematical modelling; Optimal control theory;

D O I：

10.1007/s40819-021-01011-8

中图分类号：

学科分类号：

摘要：

In this paper, we propose a nonlinear fractional-order model in order to explain and understand the outbreaks of foot-and-mouth disease. The proposed model rely on the Caputo operator. We computed the basic reproduction number and demonstrated that it is an important metric for extinction and persistence of the disease. Utilizing reported foot-and-mouth disease data for Zimbabwe and the nonlinear least-squares curve fitting method we estimated the model parameters. Meanwhile, we performed an optimal control study on the use of animal vaccination and culling of infectious animals as disease control measures against foot-and-mouth disease. Our findings showed combinations of optimal vaccination and culling rates that could lead to the effective management of the disease. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.

引用

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