{
"title": "Vaccinated Susceptible Infected and Recovered (VSIR) Mathematical Model to Study the Effect of Bacillus Calmette-Guerin (BCG) Vaccine and the Disease Stability Analysis",
"authors": "Muhammad Shahid, Nasir-uddin Khan, Mushtaq Hussain, Muhammad Liaquat Ali, Asif Mansoor",
"country": "Pakistan",
"institution": "Karachi University",
"volume": "98",
"journal": "International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering",
"pagesStart": 122,
"pagesEnd": 127,
"ISSN": "1307-6892",
"URL": "http:\/\/waset.org\/publications\/10001826",
"abstract": "Tuberculosis (TB) remains a leading cause of\r\ninfectious mortality. It is primarily transmitted by the respiratory\r\nroute, individuals with active disease may infect others through\r\nairborne particles which releases when they cough, talk, or sing and\r\nsubsequently inhale by others. In order to study the effect of the\r\nBacilli Calmette-Guerin (BCG) vaccine after vaccination of TB\r\npatient, a Vaccinated Susceptible Infected and Recovered (VSIR)\r\nmathematical model is being developed to achieve the desired\r\nobjectives. The mathematical model, so developed, shall be used to\r\nquantify the effect of BCG Vaccine to protect the immigrant young\r\nadult person. Moreover, equations are to be established for the\r\ndisease endemic and free equilibrium states and subsequently utilized\r\nin disease stability analysis. The stability analysis will give a\r\ncomplete picture of disease annihilation from the total population if\r\nthe total removal rate from the infectious group should be greater\r\nthan total number of dormant infections produced throughout\r\ninfectious period.",
"references": null,
"publisher": "World Academy of Science, Engineering and Technology",
"index": "International Science Index 98, 2015"
}