Modelling seasonal HFMD with the recessive infection in Shandong, China
Hand, foot and mouth disease (HFMD) is one of the majorpublic-health problems in China. Based on the HFMD data of the Department of Health of Shandong Province, we propose a dynamic model with periodic transmission rates to investigate the seasonal HFMD. After evaluating the basic reproduction numbe...
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| Format: | Article |
| Language: | English |
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AIMS Press
2013-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1159 |
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| author | Yangjun Ma Maoxing Liu Qiang Hou Jinqing Zhao |
| author_facet | Yangjun Ma Maoxing Liu Qiang Hou Jinqing Zhao |
| author_sort | Yangjun Ma |
| collection | DOAJ |
| description | Hand, foot and mouth disease (HFMD) is one of the majorpublic-health problems in China. Based on the HFMD data of the Department of Health of Shandong Province, we propose a dynamic model with periodic transmission rates to investigate the seasonal HFMD. After evaluating the basic reproduction number, we analyze the dynamical behaviors of the model and simulate the HFMD data of Shandong Province. By carrying out the sensitivity analysis of some key parameters, we conclude that the recessive subpopulation plays an important role in the spread of HFMD, and only quarantining the infected is not an effective measure in controlling the disease. |
| format | Article |
| id | doaj-art-919562ae90cb472db9eb3948555fc760 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-919562ae90cb472db9eb3948555fc7602025-01-24T02:26:20ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-05-011041159117110.3934/mbe.2013.10.1159Modelling seasonal HFMD with the recessive infection in Shandong, ChinaYangjun Ma0Maoxing Liu1Qiang Hou2Jinqing Zhao3Department of Mathematics, North University of China, Taiyuan, Shanxi 030051Department of Mathematics, North University of China, Taiyuan, Shanxi 030051Department of Mathematics, North University of China, Taiyuan, Shanxi 030051Department of Mathematics, North University of China, Taiyuan, Shanxi 030051Hand, foot and mouth disease (HFMD) is one of the majorpublic-health problems in China. Based on the HFMD data of the Department of Health of Shandong Province, we propose a dynamic model with periodic transmission rates to investigate the seasonal HFMD. After evaluating the basic reproduction number, we analyze the dynamical behaviors of the model and simulate the HFMD data of Shandong Province. By carrying out the sensitivity analysis of some key parameters, we conclude that the recessive subpopulation plays an important role in the spread of HFMD, and only quarantining the infected is not an effective measure in controlling the disease.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1159recessivehfmdbasic reproductionnumber$seii_{e}qr$ modelperiodic solutions |
| spellingShingle | Yangjun Ma Maoxing Liu Qiang Hou Jinqing Zhao Modelling seasonal HFMD with the recessive infection in Shandong, China Mathematical Biosciences and Engineering recessive hfmd basic reproductionnumber $seii_{e}qr$ model periodic solutions |
| title | Modelling seasonal HFMD with the recessive infection in Shandong, China |
| title_full | Modelling seasonal HFMD with the recessive infection in Shandong, China |
| title_fullStr | Modelling seasonal HFMD with the recessive infection in Shandong, China |
| title_full_unstemmed | Modelling seasonal HFMD with the recessive infection in Shandong, China |
| title_short | Modelling seasonal HFMD with the recessive infection in Shandong, China |
| title_sort | modelling seasonal hfmd with the recessive infection in shandong china |
| topic | recessive hfmd basic reproductionnumber $seii_{e}qr$ model periodic solutions |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1159 |
| work_keys_str_mv | AT yangjunma modellingseasonalhfmdwiththerecessiveinfectioninshandongchina AT maoxingliu modellingseasonalhfmdwiththerecessiveinfectioninshandongchina AT qianghou modellingseasonalhfmdwiththerecessiveinfectioninshandongchina AT jinqingzhao modellingseasonalhfmdwiththerecessiveinfectioninshandongchina |