Embay Rohaeti, Sri Wardatun, Ani Andriyati

Judul	:	Stability Analysis Model of Spreading and Controlling of Tuberculosis (Case Study: Tuberculosis in Bogor Region, West Java, Indonesia)
Abstrak	:	This research described the phenomenon of the spreading of tuberculosis in Bogor West Java Indonesia into a mathematical model used SIR model (Susceptible, Infected, Recovered model), because of tuberculosis is an infectious disease that made death, needed a treatment time of 6 to 9 months and the cost was expensive, so that the rate of spreading of tuberculosis must be controlled. Analytical level consisted of fixed point searching, analyzing the stability of a fixed point, determining the basic reproduction ratio, then analyzed numerically used Mathematica software. The results of this research showed that the most influential parameters in the spreading of tuberculosis, so that the spreading of tuberculosis in Bogor can be solved. Hence, it would prevent poverty and unproductiveness cases, and gave government policy which was related to control of spreading tuberculosis.
Tahun	:	2015	Media Publikasi	:	Jurnal Internasional
Kategori	:	Jurnal	No/Vol/Tahun	:	52, 2559 - 2566 / 9 / 2015
ISSN/ISBN	:	1312-885X (Print) 1314-7552 (Online)
PTN/S	:	-	Program Studi	:	MATEMATIKA
Bibliography	:	[1] C. M. Zaleta, J. Hernandez, A Simple Vaccination Model with Multiple Endemic States, Mathematical Biosciences, 164 (2000), 183 - 201. http://dx.doi.org/10.1016/s0025-5564(00)00003-1 [2] J. Kurths, S. Bowong, Modeling and Analysis of the Transmission Dynamics ot Tuberculosis without and with Seasonality, Nonlinear Dynamic, 67 (2012), 2027 - 2051. http://dx.doi.org/10.1007/s11071-011-0127-y [3] K. B. Blyuss, and Y. N. Kyrichko, On a basic model of a two-disease epidemic, Elsevier Applied Mathematics and Computation, 160 (2005), 177 - 187. http://dx.doi.org/10.1016/j.amc.2003.10.033 [4] K. Q. Fredlina, T. B. Oka, and I. M. Dwipayana, SIR Model for Spread of Tuberculosis, e-journal of Mathematics, 1 (2012), 52 - 58. [5] L. Edelstein-Keshet, Mathematical Models in Biology, New York: Random House, 1988. [6] T. C. Jones, D. H. Ronald, Veterinary Pathology, Philadelphia: Lead & Febiger, 1993. [7] T. C. Porto, S. M. Blower, Quantifying the Intrinsic Transmission Dynamics of Tuberculosis, Theoritical Population Biology, 54 (1998), 117 132. http://dx.doi.org/10.1006/tpbi.1998.1366 [8] P. N. V. Tu, Dynamical System An Introduction with Applications in Economic and Biology, Heidelberg, Germany: Springer-Verlag, 1994. [9] Z. Feng, C. Chaves, and A. F. Capurro, A Model for Tuberculosis with Exogenous Reinfection, Theoritical Population Biology, 57 (2000), 235 247. http://dx.doi.org/10.1006/tpbi.2000.1451
URL	:	http://www.m-hikari.com/ams/ams-2015/ams-49-52-2015/rohaetiAMS49-52-2015.pdf