Compensatory versus overcompensatory dynamics in density-dependent Leslie models
Document Type
Article
Date of Original Version
11-1-2004
Abstract
The role of compensatory and overcompensatory dynamics in generating multiple attractors in density-dependent Leslie models with or without the Allee effects are studied. In the presence of the Allee effect the models support multiple attractors. However, in the absence of the Allee effect single attractors are supported when the dynamics are compensatory while multiple attractors are supported under overcompensatory dynamics. The existence of multiple attractors in density-dependent Leslie models implies that the qualitative population dynamics depend on initial conditions.
Publication Title, e.g., Journal
Journal of Difference Equations and Applications
Volume
10
Issue
13-15
Citation/Publisher Attribution
Kulenović, M. R., and Abdul A. Yakubu. "Compensatory versus overcompensatory dynamics in density-dependent Leslie models." Journal of Difference Equations and Applications 10, 13-15 (2004): 1251-1265. doi: 10.1080/10236190410001652711.