Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Moatlhodi Kgosimore and Gosalamang R. Kelatlhegile
Pages: [75] - [91]
Received Date: July 14, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121689
In this paper, we develop a deterministic model of typhoid that
accounts for relapse of treatment. Mathematical analysis and numerical
simulations are carried out to determine the transmission dynamics of
typhoid in a community. The study aims to obtain insight on typhoid
transmission dynamics and the role of carriers on the spread of the
disease. Two equilibria exist: the disease-free equilibrium which is
locally asymptotically stable if 
and unstable if 
and the endemic state which is stable if
The simulation results suggest sustained
epidemic in the long time. Implications of these results point to
evolution of carriers due to relapse of treatment.
typhoid, treatment, transmission, reproduction number, disease-free.
