dc.creator Mbogo, Rachel Waema dc.creator OTTIENO, J. A.M. Prof. dc.date 05/23/2013 dc.date Thu, 23 May 2013 dc.date Fri, 26 Jul 2013 19:41:24 dc.date Fri, 26 Jul 2013 19:47:04 dc.date.accessioned 2015-03-18T11:29:04Z dc.date.available 2015-03-18T11:29:04Z dc.identifier.uri http://hdl.handle.net/11071/3669 dc.description Dissertation submitted in partial fulfillment for degree of Masters of Science in Industrial Mathematics in the Department of Mathematics, University of Nairobi dc.description This study is concerned with the mathematical modeling for human immunodeficient virus (HIV) transmission epidemics. The mathematical models are specified by stochastic differential equations. The differential equations are solved by use of Generating Functions (GF).In the process of literature review, a conceptual framework is drawn which summarizes the literature on HIV/ AIDS transmission epidemic models. Models based on Mother to child transmission (MTCT) (age group 0-5 years), Heterosexual transmission (age group 15 and more years) and combined case (incorporating all groups and the two modes of transmission) are developed and the expectations and variances of Susceptible (S) persons, Infected (I) persons and AIDS cases found. It is shown from the combined model that MTCT and Heterosexual models are special cases of the combined model.General aspects of modeling HIV/ AIDS are described in chapter 1, Chapter 2 focuses on the literature review. MTCT model is formulated in chapter 3. Heterosexual model is developed in chapter 4, Chapter 5 focuses on the development of the Combined model. Chapter 6 concludes the study. dc.description.abstract This study is concerned with the mathematical modeling for human immunodeficient virus (HIV) transmission epidemics. The mathematical models are specified by stochastic differential equations. The differential equations are solved by use of Generating Functions (GF).In the process of literature review, a conceptual framework is drawn which summarizes the literature on HIV/ AIDS transmission epidemic models. Models based on Mother to child transmission (MTCT) (age group 0-5 years), Heterosexual transmission (age group 15 and more years) and combined case (incorporating all groups and the two modes of transmission) are developed and the expectations and variances of Susceptible (S) persons, Infected (I) persons and AIDS cases found. It is shown from the combined model that MTCT and Heterosexual models are special cases of the combined model.General aspects of modeling HIV/ AIDS are described in chapter 1, Chapter 2 focuses on the literature review. MTCT model is formulated in chapter 3. Heterosexual model is developed in chapter 4, Chapter 5 focuses on the development of the Combined model. Chapter 6 concludes the study. dc.format Number of Pages:xi, 99 p. dc.language eng dc.rights By agreeing with and accepting this license, I (the author(s), copyright owner or nominated agent) agree to the conditions, as stated below, for deposit of the item (referred to as .the Work.) in the digital repository maintained by Strathmore University, or any other repository authorized for use by Strathmore University. Non-exclusive Rights Rights granted to the digital repository through this agreement are entirely non-exclusive. I understand that depositing the Work in the repository does not affect my rights to publish the Work elsewhere, either in present or future versions. I agree that Strathmore University may electronically store, copy or translate the Work to any approved medium or format for the purpose of future preservation and accessibility. Strathmore University is not under any obligation to reproduce or display the Work in the same formats or resolutions in which it was originally deposited. SU Digital Repository I understand that work deposited in the digital repository will be accessible to a wide variety of people and institutions, including automated agents and search engines via the World Wide Web. I understand that once the Work is deposited, metadata may be incorporated into public access catalogues. I agree as follows: 1.That I am the author or have the authority of the author/s to make this agreement and do hereby give Strathmore University the right to make the Work available in the way described above. 2.That I have exercised reasonable care to ensure that the Work is original, and to the best of my knowledge, does not breach any laws including those relating to defamation, libel and copyright. 3.That I have, in instances where the intellectual property of other authors or copyright holders is included in the Work, gained explicit permission for the inclusion of that material in the Work, and in the electronic form of the Work as accessed through the open access digital repository, or that I have identified that material for which adequate permission has not been obtained and which will be inaccessible via the digital repository. 4.That Strathmore University does not hold any obligation to take legal action on behalf of the Depositor, or other rights holders, in the event of a breach of intellectual property rights, or any other right, in the material deposited. 5.That if, as a result of my having knowingly or recklessly given a false statement at points 1, 2 or 3 above, the University suffers loss, I will make good that loss and indemnify Strathmore University for all action, suits, proceedings, claims, demands and costs occasioned by the University in consequence of my false statement. dc.subject human immunodeficient virus (HIV) transmission dc.subject Heterosexual transmission dc.title Use of generating functions in HIV/AIDS transmission models dc.type Thesis
﻿

### This item appears in the following Collection(s)

• SU Staff Theses & Dissertations [34]
Projects, Theses and Dissertations written by University Staff (studying outside of Strathmore University) in fulfillment of course requirements