Endemic Malaria Dynamics with Variable Human and Mosquito Populations

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dc.contributor.advisorKassahun Workalemahu
dc.contributor.authorTalelign Tatek
dc.date.accessioned2025-09-05T22:53:50Z
dc.date.available2025-09-05T22:53:50Z
dc.date.issued2024-08
dc.description.abstractA malaria disease transmission dynamics analysis is done using a deterministic differential equation model for endemic malaria dynamics that incorporates a variable human and mosquito population. Disease free and endemic equilibrium points are calculated and their stability is discussed. For this analysis, a threshold parameter 𝑅 ̃ 𝑜 is calculated. The disease can continue only if 𝑅 ̃ 𝑜 is greater than 1and the disease-free equilibrium point is globally stable when 𝑅 ̃ 𝑜 is less than 1.We have also shown that there exists an endemic equilibrium point for the model. Numerical stimulation is used to demonstrate the population dynamics and its dependence in the threshold parameter.
dc.identifier.urihttps://etd.aau.edu.et/handle/123456789/7383
dc.language.isoen_US
dc.publisherAddis Ababa University
dc.subjectMalaria Disease Model
dc.subjectThreshold Parameter
dc.subjectEndemic Malaria
dc.subjectDifferential Equation
dc.titleEndemic Malaria Dynamics with Variable Human and Mosquito Populations
dc.typeThesis

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