MS (Master of Science)
Date of Award
Committee Chair or Co-Chairs
Jeff R. Knisley
Ariel Cintron-Arias, Frederick Norwood, Robert B. Gardner
The SIR can be expressed either as a system of nonlinear ordinary differential equations or as a nonlinear Volterra integral equation. In general, neither of these can be solved in closed form. In this thesis, it is shown that if we assume S(t) is a finite multi-exponential, i.e. function of the form S(t) = a+ ∑nk=1 rke-σkt or a logistic function which is an infinite-multi-exponential, i.e. function of the form S(t) = c + a/b+ewt, then we can have closed form solution. Also we will formulate a method to determine R0 the basic reproductive rate of an infection.
Thesis - Open Access
Balkew, Teshome Mogessie, "The SIR Model When S(t) is a Multi-Exponential Function." (2010). Electronic Theses and Dissertations. Paper 1747. http://dc.etsu.edu/etd/1747
Copyright by the authors.