Controlling imported malaria cases in the United States of America
We extend the mathematical malaria epidemic model framework of Dembele et al. and use it to “capture” the 2013 Centers for Disease Control and Prevention (CDC) reported data on the 2011 number of imported malaria cases in the USA. Furthermore, we use our “fitted” malaria models for the top 20 countr...
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| Language: | English |
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AIMS Press
2017-01-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2017007 |
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| author | Bassidy Dembele Abdul-Aziz Yakubu |
| author_facet | Bassidy Dembele Abdul-Aziz Yakubu |
| author_sort | Bassidy Dembele |
| collection | DOAJ |
| description | We extend the mathematical malaria epidemic model framework of Dembele et al. and use it to “capture” the 2013 Centers for Disease Control and Prevention (CDC) reported data on the 2011 number of imported malaria cases in the USA. Furthermore, we use our “fitted” malaria models for the top 20 countries of malaria acquisition by USA residents to study the impact of protecting USA residents from malaria infection when they travel to malaria endemic areas, the impact of protecting residents of malaria endemic regions from mosquito bites and the impact of killing mosquitoes in those endemic areas on the CDC number of imported malaria cases in USA. To significantly reduce the number of imported malaria cases in USA, for each top 20 country of malaria acquisition by USA travelers, we compute the optimal proportion of USA international travelers that must be protected against malaria infection and the optimal proportion of mosquitoes that must be killed. |
| format | Article |
| id | doaj-art-5014b307677e4f1db3d576a31575da95 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-5014b307677e4f1db3d576a31575da952025-01-24T02:39:32ZengAIMS PressMathematical Biosciences and Engineering1551-00182017-01-011419510910.3934/mbe.2017007Controlling imported malaria cases in the United States of AmericaBassidy Dembele0Abdul-Aziz Yakubu1Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245, USADepartment of Mathematics, Howard University, Washington, DC 20059, USAWe extend the mathematical malaria epidemic model framework of Dembele et al. and use it to “capture” the 2013 Centers for Disease Control and Prevention (CDC) reported data on the 2011 number of imported malaria cases in the USA. Furthermore, we use our “fitted” malaria models for the top 20 countries of malaria acquisition by USA residents to study the impact of protecting USA residents from malaria infection when they travel to malaria endemic areas, the impact of protecting residents of malaria endemic regions from mosquito bites and the impact of killing mosquitoes in those endemic areas on the CDC number of imported malaria cases in USA. To significantly reduce the number of imported malaria cases in USA, for each top 20 country of malaria acquisition by USA travelers, we compute the optimal proportion of USA international travelers that must be protected against malaria infection and the optimal proportion of mosquitoes that must be killed.https://www.aimspress.com/article/doi/10.3934/mbe.2017007cdcimported malariamosquitousa travelers |
| spellingShingle | Bassidy Dembele Abdul-Aziz Yakubu Controlling imported malaria cases in the United States of America Mathematical Biosciences and Engineering cdc imported malaria mosquito usa travelers |
| title | Controlling imported malaria cases in the United States of America |
| title_full | Controlling imported malaria cases in the United States of America |
| title_fullStr | Controlling imported malaria cases in the United States of America |
| title_full_unstemmed | Controlling imported malaria cases in the United States of America |
| title_short | Controlling imported malaria cases in the United States of America |
| title_sort | controlling imported malaria cases in the united states of america |
| topic | cdc imported malaria mosquito usa travelers |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2017007 |
| work_keys_str_mv | AT bassidydembele controllingimportedmalariacasesintheunitedstatesofamerica AT abdulazizyakubu controllingimportedmalariacasesintheunitedstatesofamerica |