Table 6 Stability analysis of strategy combinations under emotional new energy vehicle manufacturer and emotional new energy vehicle retailer scenarios.

From: New energy vehicle battery recycling strategy considering carbon emotion from a closed-loop supply chain perspective

Equilibrium point

\(Det(J)\)

\(Tr(J)\)

Stability

\(E_{1}(0,0)\)

\(0\)

\(0\)

Unstable

\(E_{2}(1,0)\)

\(0\)

\(\times\)

Unstable

\(E_{3}(0,1)\)

\(0\)

\(\times\)

Unstable

\(E_{4}(1,1)\)

\(\times\)

\(\times\)

Saddle point

\(E_{5}(x^{ * } ,y^{ * } )\)

Stability depends on specific values and emotional intensity