Browsing by Author "Buzby, Megan H., author"
Now showing 1 - 1 of 1
Results Per Page
Sort Options
Item Open Access Short time analysis of deterministic ODE solutions and the expected value of the corresponding birth-death process(Colorado State University. Libraries, 2009) Buzby, Megan H., author; Estep, Donald, advisorThere is a standard way to construct a discrete birth-death probability model for an evolution system, in which an ODE model of the system is used to define the probabilities governing the evolution of the stochastic model. Given the significant differences in the dynamical behavior of ODE solutions which are inherently smooth, and stochastic models which are subject to random variation, the question naturally arises about the connection between the two models. In particular, we investigate the validity of using a continuum model to define the evolution of a stochastic model.