Modeling environmental transmission of MAP infection in dairy cows
Johne's disease is caused by Mycobacterium avium subspecies paratuberculosis(MAP). It is a chronic, progressive, and inflammatory disease which has a long incubation period. One main problem with the disease is the reduction of milk production in infected dairy cows. In our study we develop a s...
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| Language: | English |
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AIMS Press
2017-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2017052 |
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| author | Kokum R. De Silva Shigetoshi Eda Suzanne Lenhart |
| author_facet | Kokum R. De Silva Shigetoshi Eda Suzanne Lenhart |
| author_sort | Kokum R. De Silva |
| collection | DOAJ |
| description | Johne's disease is caused by Mycobacterium avium subspecies paratuberculosis(MAP). It is a chronic, progressive, and inflammatory disease which has a long incubation period. One main problem with the disease is the reduction of milk production in infected dairy cows. In our study we develop a system of ordinary differential equations to describe the dynamics of MAP infection in a dairy farm. This model includes the progression of the disease and the age structure of the cows. To investigate the effect of persistence of this bacteria on the farm on transmission in our model, we include environmental compartments, representing the pathogen input in an explicit way. The effect of indirect transmission from the bacteria in the environment and the culling of high-shedding adults can be seen in the numerical simulations. Since culling usually only happens once a year, we include a novel feature in the simulations with a discrete action of removing high-shedding adults once a year. We conclude that with culling of high shedders even at a high rate, the infection will persist in the modeled farm setting. |
| format | Article |
| id | doaj-art-dff15257bbaa4bfca5f915c3310e4fc4 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2017-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-dff15257bbaa4bfca5f915c3310e4fc42025-01-24T02:39:54ZengAIMS PressMathematical Biosciences and Engineering1551-00182017-07-011441001101710.3934/mbe.2017052Modeling environmental transmission of MAP infection in dairy cowsKokum R. De Silva0Shigetoshi Eda1Suzanne Lenhart2Department of Mathematics, University of Peradeniya, Peradeniya, KY 20400, Sri LankaDepartment of Forestry, Wildlife and Fisheries, University of Tennessee, Knoxville, TN 37996, USADepartment of Mathematics, University of Tennessee, Knoxville, TN 37996, USAJohne's disease is caused by Mycobacterium avium subspecies paratuberculosis(MAP). It is a chronic, progressive, and inflammatory disease which has a long incubation period. One main problem with the disease is the reduction of milk production in infected dairy cows. In our study we develop a system of ordinary differential equations to describe the dynamics of MAP infection in a dairy farm. This model includes the progression of the disease and the age structure of the cows. To investigate the effect of persistence of this bacteria on the farm on transmission in our model, we include environmental compartments, representing the pathogen input in an explicit way. The effect of indirect transmission from the bacteria in the environment and the culling of high-shedding adults can be seen in the numerical simulations. Since culling usually only happens once a year, we include a novel feature in the simulations with a discrete action of removing high-shedding adults once a year. We conclude that with culling of high shedders even at a high rate, the infection will persist in the modeled farm setting.https://www.aimspress.com/article/doi/10.3934/mbe.2017052johne's disease for dairy cattleenvironmental transmissionsystem of differential equationsdiscrete testingbasic reproduction number |
| spellingShingle | Kokum R. De Silva Shigetoshi Eda Suzanne Lenhart Modeling environmental transmission of MAP infection in dairy cows Mathematical Biosciences and Engineering johne's disease for dairy cattle environmental transmission system of differential equations discrete testing basic reproduction number |
| title | Modeling environmental transmission of MAP infection in dairy cows |
| title_full | Modeling environmental transmission of MAP infection in dairy cows |
| title_fullStr | Modeling environmental transmission of MAP infection in dairy cows |
| title_full_unstemmed | Modeling environmental transmission of MAP infection in dairy cows |
| title_short | Modeling environmental transmission of MAP infection in dairy cows |
| title_sort | modeling environmental transmission of map infection in dairy cows |
| topic | johne's disease for dairy cattle environmental transmission system of differential equations discrete testing basic reproduction number |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2017052 |
| work_keys_str_mv | AT kokumrdesilva modelingenvironmentaltransmissionofmapinfectionindairycows AT shigetoshieda modelingenvironmentaltransmissionofmapinfectionindairycows AT suzannelenhart modelingenvironmentaltransmissionofmapinfectionindairycows |