A deterministic model of schistosomiasis with spatial structure
It has been observed in several settings that schistosomiasis is lessprevalent in segments of river with fast current than in those with slow current.Some believe that this can be attributed to flush-away of intermediate hostsnails. However, free-swimming parasite larvae are very active in searching...
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AIMS Press
2008-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.505 |
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| author | Fabio Augusto Milner Ruijun Zhao |
| author_facet | Fabio Augusto Milner Ruijun Zhao |
| author_sort | Fabio Augusto Milner |
| collection | DOAJ |
| description | It has been observed in several settings that schistosomiasis is lessprevalent in segments of river with fast current than in those with slow current.Some believe that this can be attributed to flush-away of intermediate hostsnails. However, free-swimming parasite larvae are very active in searching forsuitable hosts, which indicates that the flush-away of larvae may also be veryimportant. In this paper, the authors establish a model with spatial structurethat characterizes the density change of parasites following the flush-away oflarvae. It is shown that the reproductive number, which is an indicator ofprevalence of parasitism, is a decreasing function of the river current velocity.Moreover, numerical simulations suggest that the mean parasite load is lowwhen the velocity of river current flow is sufficiently high. |
| format | Article |
| id | doaj-art-e843e92360454d569aec64a08d77ed64 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2008-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-e843e92360454d569aec64a08d77ed642025-01-24T01:58:23ZengAIMS PressMathematical Biosciences and Engineering1551-00182008-05-015350552210.3934/mbe.2008.5.505A deterministic model of schistosomiasis with spatial structureFabio Augusto Milner0Ruijun Zhao1Department of Mathematics, Purdue University, 150 North University Street, West Lafayette, IN 47907-2067Department of Mathematics, Purdue University, 150 North University Street, West Lafayette, IN 47907-2067It has been observed in several settings that schistosomiasis is lessprevalent in segments of river with fast current than in those with slow current.Some believe that this can be attributed to flush-away of intermediate hostsnails. However, free-swimming parasite larvae are very active in searching forsuitable hosts, which indicates that the flush-away of larvae may also be veryimportant. In this paper, the authors establish a model with spatial structurethat characterizes the density change of parasites following the flush-away oflarvae. It is shown that the reproductive number, which is an indicator ofprevalence of parasitism, is a decreasing function of the river current velocity.Moreover, numerical simulations suggest that the mean parasite load is lowwhen the velocity of river current flow is sufficiently high.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.505delaydifferential equations.reproductive numbersschistosomiasis |
| spellingShingle | Fabio Augusto Milner Ruijun Zhao A deterministic model of schistosomiasis with spatial structure Mathematical Biosciences and Engineering delaydifferential equations. reproductive numbers schistosomiasis |
| title | A deterministic model of schistosomiasis with spatial structure |
| title_full | A deterministic model of schistosomiasis with spatial structure |
| title_fullStr | A deterministic model of schistosomiasis with spatial structure |
| title_full_unstemmed | A deterministic model of schistosomiasis with spatial structure |
| title_short | A deterministic model of schistosomiasis with spatial structure |
| title_sort | deterministic model of schistosomiasis with spatial structure |
| topic | delaydifferential equations. reproductive numbers schistosomiasis |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.505 |
| work_keys_str_mv | AT fabioaugustomilner adeterministicmodelofschistosomiasiswithspatialstructure AT ruijunzhao adeterministicmodelofschistosomiasiswithspatialstructure AT fabioaugustomilner deterministicmodelofschistosomiasiswithspatialstructure AT ruijunzhao deterministicmodelofschistosomiasiswithspatialstructure |