Department of Mathematics and Computer Science
Master of Science
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.
Smith, Clarissa, "A Comparison of Deterministic and Stochastic Population Models" (1998). Masters Theses & Specialist Projects. Paper 321.