| Автор | Cushing, J.M. |
| Автор | Levarge, Sheree |
| Автор | Chitnis, Nakul |
| Автор | Henson, Shandelle M. |
| Дата выпуска | 2004 |
| dc.description | A difference equation model, called that Leslie/Gower model, played a key historical role in laboratory experiments that helped establish the “competitive exclusion principle” in ecology. We show that this model has the same dynamic scenarios as the famous Lotka/Volterra (differential equation) competition model. It is less well known that some anomalous results from the experiments seem to contradict the exclusion principle and Lotka/Volterra dynamics. We give an example of a competition model that has non-Lotka/Volterra dynamics that are consistent with the anomalous case. |
| Формат | application.pdf |
| Издатель | Taylor & Francis GroupAbingdon, UK |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | Difference equations |
| Тема | Global stability |
| Тема | Competition models |
| Тема | Competitive exclusion principle |
| Тема | Leslie/Gower model |
| Тема | Lotka/Volterra dynamics |
| Тема | 39A11 |
| Тема | 92D40 |
| Название | Some Discrete Competition Models and the Competitive Exclusion Principle<sup>†</sup> |
| Тип | research-article |
| DOI | 10.1080/10236190410001652739 |
| Electronic ISSN | 1563-5120 |
| Print ISSN | 1023-6198 |
| Журнал | Journal of Difference Equations and Applications |
| Том | 10 |
| Первая страница | 1139 |
| Последняя страница | 1151 |
| Аффилиация | Cushing, J.M.; Department of Mathematics, Program on Applied Mathematics, University of Arizona |
| Аффилиация | Levarge, Sheree; Department of Mathematics, Program on Applied Mathematics, University of Arizona |
| Аффилиация | Chitnis, Nakul; Department of Mathematics, Program on Applied Mathematics, University of Arizona |
| Аффилиация | Henson, Shandelle M.; Department of Mathematics, Andrews University |
| Выпуск | 13-15 |
