The Dynamics of Vector-Host Feeding Contact Rate with Saturation: A Case of Malaria in Western Kenya
| العنوان: | The Dynamics of Vector-Host Feeding Contact Rate with Saturation: A Case of Malaria in Western Kenya |
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| المؤلفون: | Ogana Wandera, Josephine Wairimu |
| المصدر: | Applied Mathematics. :1381-1391 |
| بيانات النشر: | Scientific Research Publishing, Inc., 2013. |
| سنة النشر: | 2013 |
| مصطلحات موضوعية: | education.field_of_study, parasitic diseases, Population, medicine, General Medicine, education, medicine.disease, Basic reproduction number, Malaria, Mathematics, Demography |
| الوصف: | In this study, we develop an expression for a saturated mosquito feeding rate in an SIS malaria model to determine its effect on infection and transmission dynamics of malaria in the highlands of Western Kenya. The basic reproduction number is established as a sharp threshold that determines whether the disease dies out or persists in the population. Precisely, if , the disease-free equilibrium is globally asymptotically stable and the disease always dies out and if , there exists a unique endemic equilibrium which is globally stable and the disease persists. The contribution of the saturated contact rate to the basic reproduction number and the level of the endemic equilibrium are also analyzed. |
| تدمد: | 2152-7393 2152-7385 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::483cd512e7ab9e4eeee6611645d525b7 https://doi.org/10.4236/am.2013.410187 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi...........483cd512e7ab9e4eeee6611645d525b7 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 21527393 21527385 |
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