Mathematical Modelling of Pulmonary and Extra-pulmonary Tuberculosis
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2013, Vol 4, Issue 9
Abstract
Tuberculosis (TB) is a big public health problem in India. As per WHO TB-report 2011, India accounts for one fourth (approximately 26%) of the global TB incident cases. Each year nearly 20,00000 people in India develop TB, of which around 870000 are infectious cases. It is estimated that every day approximately 1000 Indians die due to TB. In this paper, a mathematical model is formulated for tuberculosis using ordinary differential equations which is similar to SEIR epidemic model. The entire population is divided into five compartments viz. susceptible (S), exposed (E), infectious with pulmonary tuberculosis (I) and extra-pulmonary tuberculosis (X) and treated (T). Basic reproduction number R0is defined and a relation is established for it. Steady state conditions are derived showing that when 0 R 1there is a disease free equilibrium which is locally asymptotically stable whereas for 0 R 1there exists an endemic equilibrium. Sensitivity of R0 to each parameter is analysed.
Authors and Affiliations
Nita H. Shah#1 and Jyoti Gupta
Keywords
Related Articles
- EP ID EP157071
- DOI -
- Views 76
- Downloads 0
Effect of Shadow of the Earth Due to Solar Radiation Pressure, Magnetic Force and Earth’s Oblateness on the Non-Linear Oscillation of the System in a Circular Orbit of the Centre of Mass of the Systems
We have studied the non-linear oscillation of the system of the satellites connected by light, flexible and extensible cable under the influence of magnetic force, the shadow of the earth due to solar radiation pressure...
On b#-Open Sets
Andrijivic introduced and studied the concept of b-open sets. Following this Bharathi et.al. introduced the concept of b**-open sets. Recently Indira et.al. studied the notions of *b-open sets and **b-open sets. In this...
Location of Regions Containing No Zero of a Polynomial
In this paper we locate regions containing no zero of a polynomial whose coefficients are restricted to certain conditions
Effect of Resistance to flow and wall shear stress on axially symmetric artery for Non-Newtonian fluid Model of blood flow through a stenosis
An effort has been made to explore the nonNewtonian behaviour on blood flow through a stenosed artery with Power-law fluid model. Numerical illustration presented at the end of the paper provides the consequences...
Separation Axioms in Intuitionistic Fuzzy Soft Topological space
In this paper, I have studied some properties of fuzzy soft topological space. We define fuzzy soft intuitionistic separation axioms and basic definition of intuitionistic fuzzy soft normal spaces and theorems. Lastly, i...