Mathematical models for the transmission of malaria with seasonality and ivermectin

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dc.contributor.authorZhao, Zhihong
dc.contributor.authorLi, Shaochun
dc.contributor.authorLu, Yulan
dc.date.accessioned2023-04-17T17:56:19Z
dc.date.available2023-04-17T17:56:19Z
dc.date.issued2022-04-07
dc.description.abstractIvermectin has shown good effects for malaria control in clinical trial stages because it can kill mosquitoes feeding on recently treated individuals. In this article, we formulate and analyze a novel delay malaria transmission model taking into account seasonality and ivermectin. We show that the dynamics of the model is totally determined by the basic reproduction ratio R0; that is, malaria will gradually die out if R0<1 and will persist if R0>1. Numerically, we verify the obtained theoretical results and evaluate the effect of ivermectin by related data of Kenya. We find that our simulation of the impact agrees with the prediction of the existing clinical trials in which it takes at least 25 years to eliminate malaria from Kenya with malaria control measures intact.
dc.description.departmentMathematics
dc.formatText
dc.format.extent22 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZhao, Z., Li, S., & Lu, Y. (2022). Mathematical models for the transmission of malaria with seasonality and ivermectin. <i>Electronic Journal of Differential Equations, 2022</i>(28), pp. 1-22.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16587
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectsensitivity analysis
dc.subjectmalaria model
dc.subjectIvermectin
dc.subjecttime delay
dc.subjectbasic reproduction ratio
dc.titleMathematical models for the transmission of malaria with seasonality and ivermectin
dc.typeArticle

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