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 63
- Downloads 0
On Regular Seminear rings
In this paper mainly we have obtained equivalent conditions on skew semi rings, regular semi near rings and Idempotent semi near rings.
Mathematical Technique Based Speaker Recognition for Total Security System
Today security system is rapidly growing and updating simultaneously due to advance of technology. This growth in electronic transactions results in a rise of demand for fast and accurate user identification and authenti...
Use and application of the External Databases for data organization and storage
The external databases are some files which stock the information. We can create, edit or recover an immense volume of databases when we shall use the external databases for data organization and storage. AutoCAD o...
Multicast Multi-Path Power Efficient Routing In Mobile Adhoc Networks
The proposed work is aimed to provide efficient power aware routing considering real and non real time data transfer. Ad hoc networks are peer to peer, autonomous networks comprised of wireless mobile devices. Th...
Decompositions of Some Types of Supra Soft Sets and Soft Continuity
In this paper we introduce the notion of supra soft topological spaces. We extend the notion of -operation, pre-open soft sets, -open soft sets, semi-open soft sets and -open soft sets to such spaces and study their prop...