Study of Some Differential Dynamic Systems Linked to the Spread of Epidemics

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dc.contributor.authorSouad, Bounouiga
dc.contributor.authorRapporteur: Noureddine, Benhamidouche
dc.contributor.authorCo-Rapporteur: Bilal, Basti
dc.date.accessioned2025-05-13T08:00:47Z
dc.date.available2025-05-13T08:00:47Z
dc.date.issued2025-06-15
dc.description.abstractThis thesis introduces and investigates several innovative models to analyze and comprehend the transmission dynamics of mosquito-borne infectious diseases, including malaria, dengue fever, and cutaneous leishmaniasis. It provides a comprehensive analysis of the spread of these diseases through numerical simulations, utilizing recent health data from multiple countries. Furthermore, the study examines solutions' existence, uniqueness, and stability, alongside an exploration of the basic reproduction number, equilibrium points, and their stability properties. The numerical simulations reveal a direct correlation between transmission rates and the number of infected individuals, underscoring the urgent need to implement effective treatment protocols.
dc.identifier.urihttps://repository.univ-msila.dz/handle/123456789/46182
dc.language.isoen
dc.publisherUniversity of Mohamed Boudiaf, Faculty of Mathematics and Computer Science, Mathematics Department
dc.subjectMathematical modeling
dc.subjectMEDICINE::Microbiology, immunology, infectious diseases
dc.subjectpopulation dynamics
dc.subjectmalaria
dc.subjectdengue fever
dc.subjectcutaneous leishmaniasis
dc.subjectexistence
dc.subjectuniqueness
dc.subjectbasic reproduction number
dc.subjectequilibrium points
dc.subjectstability analysis
dc.subjectnumerical simulations
dc.subjectestimation parameters
dc.subjecthealth data analysis
dc.subjectand treatment protocols
dc.titleStudy of Some Differential Dynamic Systems Linked to the Spread of Epidemics
dc.typeThesis

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