The roles of conic sections and elliptic curves in the global dynamics of a class of planar systems of rational difference equations

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 5 Table of formulas for $L_{1}$ , $U_{1}$ , $L_{2}$ and $U_{2}$

	$B_{i} γ_{i} - C_{i} β_{i}$ , 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	$T_{i} (m_{1}, m_{2})$	$T_{i} (M_{1}, m_{2})$