Abstract
It is shown that a trick introduced by H. R. Thieme [6] to study a one-species integral equation model with a nonmonotone operator can be used to show that some multispecies reaction-diffusion systems which are cooperative for small population densities but not for large ones have a spreading speed. The ideas are explained by considering a model for the interaction between ungulates and grassland.
Original language | English (US) |
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Pages (from-to) | 1087-1098 |
Number of pages | 12 |
Journal | Discrete and Continuous Dynamical Systems |
Volume | 23 |
Issue number | 3 |
DOIs | |
State | Published - Mar 2009 |
Externally published | Yes |
Keywords
- Partially cooperative
- Reaction-diffusion system
- Spreading speed