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Analysis of the Model on the Effect of Seasonal Factors on Malaria Transmission Dynamics
Joint Authors
Yiga, Victor
Nampala, Hasifa
Tumwiine, Julius
Source
Journal of Applied Mathematics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-19
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
Malaria 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.
American Psychological Association (APA)
Yiga, Victor& Nampala, Hasifa& Tumwiine, Julius. 2020. Analysis of the Model on the Effect of Seasonal Factors on Malaria Transmission Dynamics. Journal of Applied Mathematics،Vol. 2020, no. 2020, pp.1-19.
https://search.emarefa.net/detail/BIM-1174596
Modern Language Association (MLA)
Yiga, Victor…[et al.]. Analysis of the Model on the Effect of Seasonal Factors on Malaria Transmission Dynamics. Journal of Applied Mathematics No. 2020 (2020), pp.1-19.
https://search.emarefa.net/detail/BIM-1174596
American Medical Association (AMA)
Yiga, Victor& Nampala, Hasifa& Tumwiine, Julius. Analysis of the Model on the Effect of Seasonal Factors on Malaria Transmission Dynamics. Journal of Applied Mathematics. 2020. Vol. 2020, no. 2020, pp.1-19.
https://search.emarefa.net/detail/BIM-1174596
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174596