A Comparison of Deterministic and Stochastic Population Models

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.

Name thesis:degree_name

Master of Science

Discipline thesis:degree_discipline

Department of Mathematics and Computer Science

Year

1998

Author dc:creator

• Smith, Clarissa

• Mathematics

Repository record dc:identifier

https://digitalcommons.wku.edu/theses/321

OAI identifier oai:identifier

oai:digitalcommons.wku.edu:theses-1324