| Title: |
A multi-class extension of the mean field Bolker–Pacala population model |
| Authors: |
Bessonov, Mariya; Molchanov, Stanislav; Whitmeyer, Joseph |
| Contributors: |
National Science Foundation; City University of New York; University of North Carolina at Charlotte |
| Source: |
Random Operators and Stochastic Equations ; volume 26, issue 3, page 163-174 ; ISSN 1569-397X 0926-6364 |
| Publisher Information: |
Walter de Gruyter GmbH |
| Publication Year: |
2018 |
| Description: |
We extend our earlier mean field approximation of the Bolker–Pacala model of population dynamics by dividing the population into N classes, using a mean field approximation for each class but also allowing migration between classes as well as possibly suppressive influence of the population of one class over another class. For {N\geq 2} , we obtain one symmetric nontrivial equilibrium for the system and give global limit theorems. For {N=2} , we calculate all equilibrium solutions, which, under additional conditions, include multiple nontrivial equilibria. Lastly, we prove geometric ergodicity regardless of the number of classes when there is no population suppression across the classes. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.1515/rose-2018-0013 |
| DOI: |
10.1515/rose-2018-0013/xml |
| DOI: |
10.1515/rose-2018-0013/pdf |
| Availability: |
https://doi.org/10.1515/rose-2018-0013; http://www.degruyter.com/view/j/rose.2018.26.issue-3/rose-2018-0013/rose-2018-0013.xml; https://www.degruyterbrill.com/document/doi/10.1515/rose-2018-0013/xml; https://www.degruyterbrill.com/document/doi/10.1515/rose-2018-0013/pdf |
| Accession Number: |
edsbas.9E5D9926 |
| Database: |
BASE |