Theory and Modern Applications
Table 2 Existence of equilibria and period-two solutions for \(a>0\), \(f>0\), \(C=0\)
From: Global dynamic scenarios for competitive maps in the plane
| Â | d | f, E | Equilibria | Period-two solutions |
|---|---|---|---|---|
C = 0 | d>0 | f = E | \(\bar {x}_{0}=0\) | infinitely many |
d = 0 | f = E | \(\bar {x}_{0}=0\) | infinitely many | |
d ≥ 0 | f>E | \(\bar {x}_{0}=0\) | none | |
f<E | \(\bar {x}_{0}=0\), \(\bar {x}_{+}>0\) | none |