The views expressed here are those of the individual authors and not necessarily those of the JSM sponsors, their officers, or their staff.
Online Program Home
Abstract Details
|
Activity Number:
|
667
|
|
Type:
|
Contributed
|
|
Date/Time:
|
Thursday, August 2, 2012 : 10:30 AM to 12:20 PM
|
|
Sponsor:
|
Section on Statistics and the Environment
|
| Abstract - #304570 |
|
Title:
|
Asymptotic Behavior of a Stochastic Population Model
|
|
Author(s):
|
Samuel Woolford*+ and Norm Josephy and Mihaela Predescu
|
|
Companies:
|
Bentley University and Bentley University and Bentley University
|
|
Address:
|
175 Forest St, Waltham, MA, 02452, United States
|
|
Keywords:
|
stochastic difference equations ;
nonlinear models ;
asymptotic behavior ;
stability behavior
|
|
Abstract:
|
This talk considers the global stability characteristics of solutions of a discrete time, nonlinear system of stochastic difference equations that arise in the study of a two-stage population model. The global behavior of the underlying deterministic system was studied in a previous paper by the authors. This talk considers two approaches to incorporate stochastic elements into the deterministic system and shows that the asymptotic behavior of the stochastic model is strongly influenced by the different stability regions associated with the deterministic system. However, the stochastic system also exhibits behavior that is not suggested by the deterministic system. These results have implications for model identification in applied settings.
|
The address information is for the authors that have a + after their name.
Authors who are presenting talks have a * after their name.
Back to the full JSM 2012 program
|
2012 JSM Online Program Home
For information, contact jsm@amstat.org or phone (888) 231-3473.
If you have questions about the Continuing Education program, please contact the Education Department.