Volume no :40, Issue no: 1, July

MATHEMATICAL ANALYSIS OF TYPHOID INFECTION WITH TREATMENT

Author'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

Abstract

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.

Keywords

typhoid, treatment, transmission, reproduction number, disease-free.