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Table 4 Signs of slopes of E 1 and E 2 in B when C 1 >0 or B 2 >0

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 >0 +
(ii) =0 <0 <0 +
(iii) >0 ≥0 ≥0 + or −
(iv) >0 ≥0 <0 +
(v) >0 <0 <0 + + or −
(vi) <0 ≥0 ≥0 + or −
(vii) <0 <0 ≥0 +
(viii) <0 <0 <0 + or − +