Jones M. Mutua, Colin T. Barker, Naveen K. Vaidya
Abstract:
Typhoid fever is one of the most common endemic diseases in tropical
and developing countries. Socioeconomic gaps among the populations in
these countries may play a major role in the transmission and control
of Typhoid fever as well as in the effectiveness of vaccination programs.
In this study, we develop a mathematical model that describes impacts
of socioeconomic status and vaccination programs on the dynamics of
Typhoid epidemics. We establish that the global dynamics of Typhoid
is determined by the basic reproduction number, R0,
which helps identify the socioeconomic condition and vaccination program
for successful mitigation of the disease. Using numerical simulations of
our model, we show that socioeconomic status plays a significant role
in Typhoid dynamics. We find that a low socioeconomic status results
in increased Typhoid cases and a higher R0 value.
Furthermore, increasing vaccination of the low socioeconomic population
results in a lower R0 value, lower Typhoid infections,
and a lower disease prevalence. However, both low and high socioeconomic
class populations need to be targeted by vaccination programs to achieve
successful disease eradication.
Published November 15, 2017.
Math Subject Classifications: 34D20, 37N25, 92D30.
Key Words: Typhoid epidemics; disease modeling; reproduction number;
stability analysis; vaccination program; socioeconomic status.
Show me the PDF file (794 K), TEX file for this article.
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Jones M. Mutua Department of Mathematics & Statistics University of Missouri-Kansas City Missouri 64110, USA email: jmm7w6@mail.umkc.edu |
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Colin T. Barker Department of Mathematics & Statistics University of Missouri-Kansas City Missouri 64110, USA email: ctbn9c@mail.umkc.edu |
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Naveen K. Vaidya Department of Mathematics & Statistics San Diego State University California 92182, USA email: nvaidya@sdsu.edu |
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