A Schistosomiasis Model with Mating Structure
A schistosomiasis model is proposed including single schistosomes, paired schistosomes, snails, and the latent period of infected snails. A reasonable sex ratio of schistosomes and the minimum mating function are considered. A threshold condition determining the stability of the system is given, and...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/741386 |
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| _version_ | 1832567261566599168 |
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| author | Longxing Qi Jing-an Cui |
| author_facet | Longxing Qi Jing-an Cui |
| author_sort | Longxing Qi |
| collection | DOAJ |
| description | A schistosomiasis model is proposed including single schistosomes, paired schistosomes, snails, and the latent period of infected snails. A reasonable sex ratio of schistosomes and the minimum mating function are considered. A threshold condition determining the stability of the system is given, and the stability of equilibrium for the model is shown. The impact of the latent period of infected snails on schistosomiasis transmission can be found through numerical simulations. Finally, preferable control strategies are obtained by sensitivity analyses. Killing snails may be the preferred control measure. If we choose chemotherapy, we should use some drugs which are sufficient for reducing egg-associated pathology, since paired schistosomes are mostly harmful to definitive hosts. |
| format | Article |
| id | doaj-art-c3797d3d4ac84390a0b4a8a96bd87bd8 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c3797d3d4ac84390a0b4a8a96bd87bd82025-02-03T01:01:57ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/741386741386A Schistosomiasis Model with Mating StructureLongxing Qi0Jing-an Cui1School of Mathematical Sciences, Anhui University, Hefei 230601, ChinaCollege of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, ChinaA schistosomiasis model is proposed including single schistosomes, paired schistosomes, snails, and the latent period of infected snails. A reasonable sex ratio of schistosomes and the minimum mating function are considered. A threshold condition determining the stability of the system is given, and the stability of equilibrium for the model is shown. The impact of the latent period of infected snails on schistosomiasis transmission can be found through numerical simulations. Finally, preferable control strategies are obtained by sensitivity analyses. Killing snails may be the preferred control measure. If we choose chemotherapy, we should use some drugs which are sufficient for reducing egg-associated pathology, since paired schistosomes are mostly harmful to definitive hosts.http://dx.doi.org/10.1155/2013/741386 |
| spellingShingle | Longxing Qi Jing-an Cui A Schistosomiasis Model with Mating Structure Abstract and Applied Analysis |
| title | A Schistosomiasis Model with Mating Structure |
| title_full | A Schistosomiasis Model with Mating Structure |
| title_fullStr | A Schistosomiasis Model with Mating Structure |
| title_full_unstemmed | A Schistosomiasis Model with Mating Structure |
| title_short | A Schistosomiasis Model with Mating Structure |
| title_sort | schistosomiasis model with mating structure |
| url | http://dx.doi.org/10.1155/2013/741386 |
| work_keys_str_mv | AT longxingqi aschistosomiasismodelwithmatingstructure AT jingancui aschistosomiasismodelwithmatingstructure AT longxingqi schistosomiasismodelwithmatingstructure AT jingancui schistosomiasismodelwithmatingstructure |