Table 8 Global behavior of solutions when ${\mathit{\beta }}_{\mathbf{1}}\mathbf{-}{\mathit{A}}_{\mathbf{1}}\mathbf{>}\mathbf{0}$ and ${\mathit{\gamma }}_{\mathbf{2}}\mathbf{-}{\mathit{A}}_{\mathbf{2}}\mathbf{>}\mathbf{0}$ when ${\mathit{E}}_{\mathbf{1}}$ and ${\mathit{E}}_{\mathbf{2}}$ are respectively pairs of parallel and transversal lines

$B_2({\beta }_1-A_1)\ge B_1({\gamma }_2-A_2)$

Repeller

L.A.S.

Basin of attraction:

${(0,\mathrm{\infty })}^2$ and

positive x-axis

Saddle

Its stable manifold:

Positive y-axis

–

$B_2({\beta }_1-A_1)<B_1({\gamma }_2-A_2)$

Repeller

Saddle

Its stable manifold:

Positive x-axis

Saddle

Its stable manifold:

Positive y-axis

L.A.S.

Basin of attraction:

${(0,\mathrm{\infty })}^2$