Mathematical Modeling and Analysis of Malaria Propagation

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dc.contributor.authorBOUGHRARA Assia
dc.date.accessioned2026-06-29T09:11:01Z
dc.date.issued2025-06-03
dc.description.abstractThe aim of this thesis is to study the dynamics model of the malaria parasite. The mathematical model was developed based on the SEIR model for humans and the SI model for mosquitoes. The basic reproduction number was calculated, and then the stability of the disease-free equilibrium point was studied. If R0>1, it is unstable, but if R0<1, it is locally asymptotically stable. This was proven using the Poincaré-Lyapunov theorem and globally asymptotically stable. This was proven using the Lyapunov function. The existence and uniqueness of the endemic equilibrium point were studied, and it was proven to be globally asymptotically stable if R0>1, also using the Lyapunov function, and otherwise unstable.
dc.identifier.urihttps://dspace.univ-tebessa.dz/handle/123456789/318
dc.language.isoen
dc.publisherLarbiTebessi University-Tebessa
dc.subjectBasic Reproduction Number
dc.subjectGlobal and Local Asymptotic Stabilitiy
dc.subjectand Disease-Free Equilibrium
dc.subjectEndemic Equilibrium
dc.subjectLyapunov Function
dc.subjectSEIR and SI Model.
dc.titleMathematical Modeling and Analysis of Malaria Propagation
dc.typeThesis

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