Theory and Modern Applications
From: The roles of conic sections and elliptic curves in the global dynamics of a class of planar systems of rational difference equations
B i γ i − C i β i , i = 1,2
B i α i − A i β i , i = 1,2
C i α i − A i γ i , i = 1,2
Slope of E 1
Slope of E 2
(i)
=0
>0
−
+
(ii)
<0
(iii)
≥0
+ or −
(iv)
(v)
(vi)
(vii)
(viii)