Modeling the intrinsic dynamics of foot-and-mouth disease
We propose a new mathematical modeling framework to investigate the transmission and spread of foot-and-mouth disease. Our models incorporate relevant biological and ecological factors, vaccination effects, and seasonal impacts during the complex interaction among susceptible, vaccinated, exposed, i...
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| Format: | Article |
| Language: | English |
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AIMS Press
2015-12-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015010 |
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| _version_ | 1832590112601407488 |
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| author | Steady Mushayabasa Drew Posny Jin Wang |
| author_facet | Steady Mushayabasa Drew Posny Jin Wang |
| author_sort | Steady Mushayabasa |
| collection | DOAJ |
| description | We propose a new mathematical modeling framework to investigate the transmission and spread of foot-and-mouth disease. Our models incorporate relevant biological and ecological factors, vaccination effects, and seasonal impacts during the complex interaction among susceptible, vaccinated, exposed, infected, carrier, and recovered animals. We conduct both epidemic and endemic analysis, with a focus on the threshold dynamics characterized by the basic reproduction numbers. In addition, numerical simulation results are presented to demonstrate the analytical findings. |
| format | Article |
| id | doaj-art-46e1af35df374865af69907b1b8090e4 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2015-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-46e1af35df374865af69907b1b8090e42025-01-24T02:35:04ZengAIMS PressMathematical Biosciences and Engineering1551-00182015-12-0113242544210.3934/mbe.2015010Modeling the intrinsic dynamics of foot-and-mouth diseaseSteady Mushayabasa0Drew Posny1Jin Wang2Department of Mathematics, University of Zimbabwe, P.O. Box MP 167, HarareNSF Center for Integrated Pest Management, NC State University, Raleigh, NC 27606Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403We propose a new mathematical modeling framework to investigate the transmission and spread of foot-and-mouth disease. Our models incorporate relevant biological and ecological factors, vaccination effects, and seasonal impacts during the complex interaction among susceptible, vaccinated, exposed, infected, carrier, and recovered animals. We conduct both epidemic and endemic analysis, with a focus on the threshold dynamics characterized by the basic reproduction numbers. In addition, numerical simulation results are presented to demonstrate the analytical findings.https://www.aimspress.com/article/doi/10.3934/mbe.2015010threshold dynamics.mathematical modelsfoot-and-mouth disease |
| spellingShingle | Steady Mushayabasa Drew Posny Jin Wang Modeling the intrinsic dynamics of foot-and-mouth disease Mathematical Biosciences and Engineering threshold dynamics. mathematical models foot-and-mouth disease |
| title | Modeling the intrinsic dynamics of foot-and-mouth disease |
| title_full | Modeling the intrinsic dynamics of foot-and-mouth disease |
| title_fullStr | Modeling the intrinsic dynamics of foot-and-mouth disease |
| title_full_unstemmed | Modeling the intrinsic dynamics of foot-and-mouth disease |
| title_short | Modeling the intrinsic dynamics of foot-and-mouth disease |
| title_sort | modeling the intrinsic dynamics of foot and mouth disease |
| topic | threshold dynamics. mathematical models foot-and-mouth disease |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015010 |
| work_keys_str_mv | AT steadymushayabasa modelingtheintrinsicdynamicsoffootandmouthdisease AT drewposny modelingtheintrinsicdynamicsoffootandmouthdisease AT jinwang modelingtheintrinsicdynamicsoffootandmouthdisease |