Publication Date
5-1-1998
Degree Program
Department of Mathematics and Computer Science
Degree Type
Master of Science
Abstract
In this thesis, the author considers the exponential and the predator-prey population models. A comparison of the deterministic and stochastic versions of each is made. The author shows that on average a stochastic model is precisely its corresponding deterministic model. The first model considered is the exponential model. A solution is provided for both the deterministic and the stochastic versions. A predator-prey model is also analyzed. A solution of the stochastic predator-prey model is shown to be intractable. Analysis of this model is performed through numerical simulation.
Disciplines
Mathematics
Recommended Citation
Smith, Clarissa, "A Comparison of Deterministic and Stochastic Population Models" (1998). Masters Theses & Specialist Projects. Paper 321.
https://digitalcommons.wku.edu/theses/321