Analysis of the model on the effect of seasonal factors on malaria transmission dynamics

dc.contributor.authorYiga, Victor
dc.contributor.authorNampala, Hasifa
dc.contributor.authorTumwiine, Julius
dc.date.accessioned2023-03-28T12:03:02Z
dc.date.available2023-03-28T12:03:02Z
dc.date.issued202-08
dc.description.abstractMalaria is one of the world’s most prevalent epidemics. Current control and eradication efforts are being frustrated by rapid changes in climatic factors such as temperature and rainfall. This study is aimed at assessing the impact of temperature and rainfall abundance on the intensity of malaria transmission. A human host-mosquito vector deterministic model which incorporates temperature and rainfall dependent parameters is formulated. The model is analysed for steady states and their stability. The basic reproduction number is obtained using the next-generation method. It was established that the mosquito population depends on a threshold value θ, defined as the number of mosquitoes produced by a female Anopheles mosquito throughout its lifetime, which is governed by temperature and rainfall. The conditions for the stability of the equilibrium points are investigated, and it is shown that there exists a unique endemic equilibrium which is locally and globally asymptotically stable whenever the basic reproduction number exceeds unity. Numerical simulations show that both temperature and rainfall affect the transmission dynamics of malaria; however, temperature has more influence.en_US
dc.identifier.citationYiga, V., Nampala, H., & Tumwiine, J. (2020). Analysis of the model on the effect of seasonal factors on malaria transmission dynamics. Journal of Applied Mathematics, 2020, 1-19.en_US
dc.identifier.urihttps://doi.org/10.1155/2020/8885558
dc.identifier.urihttps://hdl.handle.net/20.500.12504/1280
dc.language.isoenen_US
dc.publisherHindawi Journal of Applied Mathematicsen_US
dc.subjectMalariaen_US
dc.subjectSeasonal factorsen_US
dc.subjectMalaria transmissionen_US
dc.subjectMalaria transmission dynamicsen_US
dc.titleAnalysis of the model on the effect of seasonal factors on malaria transmission dynamicsen_US
dc.typeArticleen_US

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