Question

Explain the SIR model for infectious disease. Find an application of this to the real world and solve it.

Answer 1

SIR model for infectious disease mathematical models play an important role in the analysis and control of infectious diseases, and effective me aducores e measures con e can be taken to reduce its transmission as much as possible. The total population is divided into three classes- Susceptible population S(+), infected population Ilt) and recover population RH). For some diseases, such as Aids, Rubella, haricella, syphilis , mumps et are one of the main transmission modes that infected mothers infect their unborn or newborn offsprongs. An ? SIR epidemic model with vaccination and vertice transmission model as follows: ols - - BSI - bs † (im) pod I +511-m) (S+R) d . - B51 - (pxd + )I . che rI - bR + dmpI tomb (stik). . Where & is the mortality rate in the suspectible and the recovered individuals and d in the mortality rate in the infective individuals. The Constants Dfq.(Atq=1) are verticie transmission rates cs Scanned with CamScanner

complex mathemausi Some recent examples of some more complex models that can be record to make quantitative predictions in infectious disease echiplemiology' modelling nacciation C Vaccines are considered to constitute of the best poeventive measure to decrease the mos bidity and mortality of infectious disease. Recently tuer new vaccines one taageted at Rodavires, a leading Causr of severe diarrhoea and the other at human papilloma virus (HPV) which is the Cause of appaox. 5% cm all human cancers have been introduced edu important advanage of using model is that the mathematica representation's cy biological processen enottes transparency parcesses enat les transparenty and accus acy Gratis transparency regarding "the epidenzio tégical assumptions, they enabling es to test our understanding of the di sease", epidlemiology by comparing met el results and observed pattern. Scanned with CamScanner