Abstract
A general notion of the Allee effect for higher dimensional triangular maps is proposed. A global dynamics theory is established. The theory is applied to multi-species hierarchical models. Then we provide a detailed study of the global dynamics of three-species Ricker competition models with the Allee effect. Regions of extinction, exclusion and coexistence are identified.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 271-287 |
| Number of pages | 17 |
| Journal | Journal of Biological Dynamics |
| Volume | 12 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1 2018 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Ecology, Evolution, Behavior and Systematics
- Ecology
Keywords
- Allee effect
- Competition models
- Global dynamics
- Invariant manifolds
- Omega limit set
- Triangular maps