Mathematical Modelling of Typhoid Fever Disease with Protection Against Infection.

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dc.contributor.authorAtukwatse, Edinah
dc.date.accessioned2023-02-08T09:02:26Z
dc.date.available2023-02-08T09:02:26Z
dc.date.issued2021
dc.description.abstractIn this study, we provide a detailed review of major mathematical models of the spread of typhoid fever. We show that the disease burden can be controlled by managing the effective contact rate of the infected population. We prove that the disease free equilibrium is globally asymptotically stable when R < 1 and the disease asymptotically dies out without requiring any external action on the system. It is established that at the point of global stability, the Jacobian of the matrix of the dynamics of the epidemic model defining the linearized state-trajectory has all its eigenvalues in the stable region. The study reveals that if the basic reproduction number exceeds one, the disease-free equilibrium is unstable so that these state trajectories can converge asymptotically to the endemic equilibrium or exhibit an oscillatory behavior. Keywords: Mathematical Modelling, Typhoid Fever, Disease, Protection Infection.en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12493/994
dc.language.isoen_USen_US
dc.publisherKabale Universityen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectMathematical Modellingen_US
dc.subjectTyphoid Feveren_US
dc.subjectDiseaseen_US
dc.subjectProtectionen_US
dc.subjectInfectionen_US
dc.titleMathematical Modelling of Typhoid Fever Disease with Protection Against Infection.en_US
dc.typeThesisen_US

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