The fundamental property of strongly monotone systems, and strongly cooperative systems in particular, is the limit set dichotomy due to Hirsch: if x < y, then either ω ( x ) < ω ( y ), or ω ( x ) = ω ( y ) and both sets consist of equilibria. We provide here a counterexample showing that this property need not hold for (non-strongly) cooperative systems.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Cooperative systems
- Limit set dichotomy
- Monotone systems