Optimal Control Strategies for the Infectiology of Brucellosis
Brucellosis is a zoonotic infection caused by Gram-negative bacteria of genus Brucella. The disease is of public health, veterinary, and economic significance in most of the developed and developing countries. Direct contact between susceptible and infective animals or their contaminated products ar...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2020/1214391 |
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| author | Nkuba Nyerere Livingstone S. Luboobi Saul C. Mpeshe Gabriel M. Shirima |
| author_facet | Nkuba Nyerere Livingstone S. Luboobi Saul C. Mpeshe Gabriel M. Shirima |
| author_sort | Nkuba Nyerere |
| collection | DOAJ |
| description | Brucellosis is a zoonotic infection caused by Gram-negative bacteria of genus Brucella. The disease is of public health, veterinary, and economic significance in most of the developed and developing countries. Direct contact between susceptible and infective animals or their contaminated products are the two major routes of the disease transmission. In this paper, we investigate the impacts of controls of livestock vaccination, gradual culling through slaughter of seropositive cattle and small ruminants, environmental hygiene and sanitation, and personal protection in humans on the transmission dynamics of Brucellosis. The necessary conditions for an optimal control problem are rigorously analyzed using Pontryagin’s maximum principle. The main ambition is to minimize the spread of brucellosis disease in the community as well as the costs of control strategies. Findings showed that the effective use of livestock vaccination, gradual culling through slaughter of seropositive cattle and small ruminants, environmental hygiene and sanitation, and personal protection in humans have a significant impact in minimizing the disease spread in livestock and human populations. Moreover, cost-effectiveness analysis of the controls showed that the combination of livestock vaccination, gradual culling through slaughter, environmental sanitation, and personal protection in humans has high impact and lower cost of prevention. |
| format | Article |
| id | doaj-art-608ddaaec84c48edb7e4c1d10598a059 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-608ddaaec84c48edb7e4c1d10598a0592025-02-03T00:58:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252020-01-01202010.1155/2020/12143911214391Optimal Control Strategies for the Infectiology of BrucellosisNkuba Nyerere0Livingstone S. Luboobi1Saul C. Mpeshe2Gabriel M. Shirima3Department of Applied Mathematics and Computational Sciences, Nelson Mandela African Institution of Science and Technology, P. O. Box 447, Arusha, TanzaniaInstitute of Mathematical Sciences, Strathmore University, P. O. Box 59857-00200, Nairobi, KenyaDepartment of Mathematics, University of Iringa, P. O. Box 200, Iringa, TanzaniaDepartment of Global Health and Bio-Medical Sciences, Nelson Mandela African Institution of Science and Technology, P. O. Box 447, Arusha, TanzaniaBrucellosis is a zoonotic infection caused by Gram-negative bacteria of genus Brucella. The disease is of public health, veterinary, and economic significance in most of the developed and developing countries. Direct contact between susceptible and infective animals or their contaminated products are the two major routes of the disease transmission. In this paper, we investigate the impacts of controls of livestock vaccination, gradual culling through slaughter of seropositive cattle and small ruminants, environmental hygiene and sanitation, and personal protection in humans on the transmission dynamics of Brucellosis. The necessary conditions for an optimal control problem are rigorously analyzed using Pontryagin’s maximum principle. The main ambition is to minimize the spread of brucellosis disease in the community as well as the costs of control strategies. Findings showed that the effective use of livestock vaccination, gradual culling through slaughter of seropositive cattle and small ruminants, environmental hygiene and sanitation, and personal protection in humans have a significant impact in minimizing the disease spread in livestock and human populations. Moreover, cost-effectiveness analysis of the controls showed that the combination of livestock vaccination, gradual culling through slaughter, environmental sanitation, and personal protection in humans has high impact and lower cost of prevention.http://dx.doi.org/10.1155/2020/1214391 |
| spellingShingle | Nkuba Nyerere Livingstone S. Luboobi Saul C. Mpeshe Gabriel M. Shirima Optimal Control Strategies for the Infectiology of Brucellosis International Journal of Mathematics and Mathematical Sciences |
| title | Optimal Control Strategies for the Infectiology of Brucellosis |
| title_full | Optimal Control Strategies for the Infectiology of Brucellosis |
| title_fullStr | Optimal Control Strategies for the Infectiology of Brucellosis |
| title_full_unstemmed | Optimal Control Strategies for the Infectiology of Brucellosis |
| title_short | Optimal Control Strategies for the Infectiology of Brucellosis |
| title_sort | optimal control strategies for the infectiology of brucellosis |
| url | http://dx.doi.org/10.1155/2020/1214391 |
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