Transmission dynamics and optimal control of brucellosis in Inner Mongolia of China
A multigroup model is developed to characterize brucellosis transmission, to explore potential effects of key factors, and to prioritize control measures. The global threshold dynamics are completely characterized by theory of asymptotic autonomous systems and Lyapunov direct method. We then formula...
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| Format: | Article |
| Language: | English |
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AIMS Press
2018-03-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2018025 |
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| author | Linhua Zhou Meng Fan Qiang Hou Zhen Jin Xiangdong Sun |
| author_facet | Linhua Zhou Meng Fan Qiang Hou Zhen Jin Xiangdong Sun |
| author_sort | Linhua Zhou |
| collection | DOAJ |
| description | A multigroup model is developed to characterize brucellosis transmission, to explore potential effects of key factors, and to prioritize control measures. The global threshold dynamics are completely characterized by theory of asymptotic autonomous systems and Lyapunov direct method. We then formulate a multi-objective optimization problem and, by the weighted sum method, transform it into a scalar optimization problem on minimizing the total cost for control. The existence of optimal control and its characterization are well established by Pontryagin's Maximum Principle. We further parameterize the model and compute optimal control strategy for Inner Mongolia in China. In particular, we expound the effects of sheep recruitment, vaccination of sheep, culling of infected sheep, and health education of human on the dynamics and control of brucellosis. This study indicates that current control measures in Inner Mongolia are not working well and Brucellosis will continue to increase. The main finding here supports opposing unregulated sheep breeding and suggests vaccination and health education as the preferred necessary emergency intervention control. The policymakers must take a new look at the current control strategy, and, in order to control brucellosis better in Inner Mongolia, the governments have to preemptively press ahead with more effective measures. |
| format | Article |
| id | doaj-art-ace77ba1fb7c4f01abfeefc596d9844e |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2018-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-ace77ba1fb7c4f01abfeefc596d9844e2025-01-24T02:40:45ZengAIMS PressMathematical Biosciences and Engineering1551-00182018-03-0115254356710.3934/mbe.2018025Transmission dynamics and optimal control of brucellosis in Inner Mongolia of ChinaLinhua Zhou0Meng Fan1Qiang Hou2Zhen Jin3Xiangdong Sun4Department of Applied Mathematics, School of Science, Changchun University of Science and Technology, Changchun 130022, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaSchool of Mechatronic Engineering, North University of China, Taiyuan 030051, ChinaComplex Systems Research Center, Shanxi University Taiyuan 030006, ChinaChina Animal Health And Epidemiology Center, Qingdao 266032, ChinaA multigroup model is developed to characterize brucellosis transmission, to explore potential effects of key factors, and to prioritize control measures. The global threshold dynamics are completely characterized by theory of asymptotic autonomous systems and Lyapunov direct method. We then formulate a multi-objective optimization problem and, by the weighted sum method, transform it into a scalar optimization problem on minimizing the total cost for control. The existence of optimal control and its characterization are well established by Pontryagin's Maximum Principle. We further parameterize the model and compute optimal control strategy for Inner Mongolia in China. In particular, we expound the effects of sheep recruitment, vaccination of sheep, culling of infected sheep, and health education of human on the dynamics and control of brucellosis. This study indicates that current control measures in Inner Mongolia are not working well and Brucellosis will continue to increase. The main finding here supports opposing unregulated sheep breeding and suggests vaccination and health education as the preferred necessary emergency intervention control. The policymakers must take a new look at the current control strategy, and, in order to control brucellosis better in Inner Mongolia, the governments have to preemptively press ahead with more effective measures.https://www.aimspress.com/article/doi/10.3934/mbe.2018025brucellosisepidemic modeldynamical analysisglobal stabilityoptimal control |
| spellingShingle | Linhua Zhou Meng Fan Qiang Hou Zhen Jin Xiangdong Sun Transmission dynamics and optimal control of brucellosis in Inner Mongolia of China Mathematical Biosciences and Engineering brucellosis epidemic model dynamical analysis global stability optimal control |
| title | Transmission dynamics and optimal control of brucellosis in Inner Mongolia of China |
| title_full | Transmission dynamics and optimal control of brucellosis in Inner Mongolia of China |
| title_fullStr | Transmission dynamics and optimal control of brucellosis in Inner Mongolia of China |
| title_full_unstemmed | Transmission dynamics and optimal control of brucellosis in Inner Mongolia of China |
| title_short | Transmission dynamics and optimal control of brucellosis in Inner Mongolia of China |
| title_sort | transmission dynamics and optimal control of brucellosis in inner mongolia of china |
| topic | brucellosis epidemic model dynamical analysis global stability optimal control |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2018025 |
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