Malaria model with stage-structured mosquitoes
A simple SEIR model for malaria transmission dynamics is formulated asour baseline model. The metamorphic stages in the mosquito population arethen included and a simple stage-structured mosquito population model isintroduced, where the mosquito population is divided into two classes, withall three...
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| Format: | Article |
| Language: | English |
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AIMS Press
2011-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.753 |
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| _version_ | 1832590187792695296 |
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| author | Jia Li |
| author_facet | Jia Li |
| author_sort | Jia Li |
| collection | DOAJ |
| description | A simple SEIR model for malaria transmission dynamics is formulated asour baseline model. The metamorphic stages in the mosquito population arethen included and a simple stage-structured mosquito population model isintroduced, where the mosquito population is divided into two classes, withall three aquatic stages in one class and all adults in the other class, to keepthe model tractable in mathematical analysis. After a brief investigation ofthis simple stage-structured mosquito model, it is incorporated into thebaseline model to formulate a stage-structured malaria model. A basicanalysis for the stage-structured malaria model is provided and it is shownthat a theoretical framework can be built up for further studies on the impactof environmental or climate change on the malaria transmission. It is alsoshown that both the baseline and the stage-structured malaria modelsundergo backward bifurcations. |
| format | Article |
| id | doaj-art-64e1afa632534c9caaad091a4ff18920 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-64e1afa632534c9caaad091a4ff189202025-01-24T02:01:59ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-05-018375376810.3934/mbe.2011.8.753Malaria model with stage-structured mosquitoesJia Li0Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL 35899A simple SEIR model for malaria transmission dynamics is formulated asour baseline model. The metamorphic stages in the mosquito population arethen included and a simple stage-structured mosquito population model isintroduced, where the mosquito population is divided into two classes, withall three aquatic stages in one class and all adults in the other class, to keepthe model tractable in mathematical analysis. After a brief investigation ofthis simple stage-structured mosquito model, it is incorporated into thebaseline model to formulate a stage-structured malaria model. A basicanalysis for the stage-structured malaria model is provided and it is shownthat a theoretical framework can be built up for further studies on the impactof environmental or climate change on the malaria transmission. It is alsoshown that both the baseline and the stage-structured malaria modelsundergo backward bifurcations.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.753backward bifurcation.mosquito metamorphic stagesreproductive numberclimate changemalaria transmissionstage-structured model |
| spellingShingle | Jia Li Malaria model with stage-structured mosquitoes Mathematical Biosciences and Engineering backward bifurcation. mosquito metamorphic stages reproductive number climate change malaria transmission stage-structured model |
| title | Malaria model with stage-structured mosquitoes |
| title_full | Malaria model with stage-structured mosquitoes |
| title_fullStr | Malaria model with stage-structured mosquitoes |
| title_full_unstemmed | Malaria model with stage-structured mosquitoes |
| title_short | Malaria model with stage-structured mosquitoes |
| title_sort | malaria model with stage structured mosquitoes |
| topic | backward bifurcation. mosquito metamorphic stages reproductive number climate change malaria transmission stage-structured model |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.753 |
| work_keys_str_mv | AT jiali malariamodelwithstagestructuredmosquitoes |