Year

1991

Paper Type

Master's Thesis

College

College of Arts and Sciences

Degree Name

Master of Science in Mathematical Sciences (MS)

Department

Mathematics & Statistics

Committee Chairperson

Dr. Pali Sen

Second Advisor

Dr. Donna L. Mohr

Rights Statement

http://rightsstatements.org/vocab/InC/1.0/

Abstract

Hepatitis B virus (HBV) is one of many viruses transmitted through the blood or body fluids. This paper concentrates on a mathematical study of the survival rate of HBV. Using data which includes the survival time for individuals who were diagnosed as being affected by HBV and those who died from HBV, we fit non-linear models to study the survival time for people affected by the virus. Survival probabilities suggest an exponential curve for the survival time. We also consider a pure death process which is a stochastic model for the survival time of the individuals affected. Our results show that individuals who have been diagnosed as having HBV have an estimated life expectancy of approximately 625 days.

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