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Table 5 Table of formulas for L 1 , U 1 , L 2 and U 2

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 L i , i = 1,2 U i , i = 1,2
1. =0 >0 >0 T i ( M 1 , M 2 ) T i ( m 1 , m 2 )
2. =0 <0 <0 T i ( m 1 , m 2 ) T i ( M 1 , M 2 )
3. >0 ≥0 ≥0 T i ( M 1 , m 2 ) T i ( m 1 , m 2 )
4. >0 >0 <0 T i ( M 1 , m 2 ) T i ( m 1 , M 2 )
5. >0 <0 <0 T i ( m 1 , m 2 ) T i ( m 1 , M 2 )
6. <0 ≥0 ≥0 T i ( m 1 , M 2 ) T i ( m 1 , m 2 )
7. <0 <0 ≥0 T i ( m 1 , M 2 ) T i ( M 1 , m 2 )
8. <0 <0 <0 T i ( m 1 , m 2 ) T i ( M 1 , m 2 )