Date of Award
Level of Access Assigned by Author
Master of Arts (MA)
David E. Hiebeler
Second Committee Member
Third Committee Member
The SIS (Susceptible-Infected-Susceptible) epidemiological model is used to describe the spread of diseases which do not confer immunity to infected individuals. A model in which an SIS epidemic spreads through a population which is subdivided into communities is explored. Individuals in the communities interact with others locally (within the community) and globally (with individuals from other communities). The dynamics of the proportion of infected individuals per community are described with a set of differential equations, supported by data from computer simulations, with the goal of measuring how the adjustment of various parameters affects two types of statistical variance. Increasing the proportion of local interactions increases the variance of the proportion of infected individuals per household, but it has little effect on the variance of the infection level between different populations.
Carter, Rachel Rier, "Moment Differential Equations of a Community-Structured SIS Epidemiological Model" (2014). Electronic Theses and Dissertations. 2210.