The Impact of Treatment of Latent Tuberculosis on the Incidence : The Case of Algeria

We present a deterministic model which describes
the dynamics of tuberculosis in Algerian population where the
vaccination program with BCG is in place since 1969 and where
the WHO recommendations regarding the DOTS (directly-observed
treatment, short course) strategy are in application. The impact
of an intervention program, targeting recently infected people
among all close contacts of active cases and their treatment to
prevent endogenous reactivation, on the incidence of tuberculosis,
is investigated. We showed that a widespread treatment of latently
infected individuals for some years is recommended to shift from
higher to lower equilibrium state and thereafter relaxation is
recommended.





References:
[1] C. Castillo-Chavez, B. Song, Dynamical models of tuberculosis and
applications, Journal of Mathematical Biosciences and Engineering, 1
(2), 2004, 361-404.
[2] C. Castillo-Chavez, Z. Feng and W. Huang, On the computation Ro and
its role on global stability, In: Mathematical Approaches for Emerging
and Reemerging Infectious Diseases: An Introduction, IMA Volume 125,
229-250, Springer-Verlag, Berlin-Heidelberg-New York. Edited by Carlos
Castillo-Chavez with Pauline van den Driessche, Denise Kirschner and
Abdul-Aziz Yakubu, 2002.
[3] Diekmann, O., J.A. Heesterbeek and J.A.J. Metz, 1990. On the definition
and the computation of the basic reproductive ratio, R0 in models of
infectious diseases in heterogeneous populations. J. Math. Biol., 28 :
365-382.
[4] S. M. Raimundo, H. Mo Yang, Transmission of Tuberculosis with
Exogenous Re-infection and Endogenous Reactivation, Mathematical
Population Studies, Vol. 13, Issue 4, December 2006, pp. 181-203.
[5] Manuel de la lutte antituberculeuse `a l’usage des personnels m´edicaux –
Programme National de Lutte Contre la Tuberculose- MSP, Direction de
la pr´evention- INSP, ´edition 2001.
[6] Relev´e Epid´emiologique Annuel, 2000 `a 2009, INSP.
[7] Global tuberculosis report 2013. WHO/HTM/TB/2013.11