Table 3 Eigenvalues of the Jacobian matrix.
Equilibrium point | Eigenvalue \({\lambda }_{1}\) | Eigenvalue \({\lambda }_{2}\) | Eigenvalue \({\lambda }_{3}\) |
|---|---|---|---|
\({E}_{1}(0,0,0)\) | \({B}_{G}+{C}_{GL}-{C}_{GS}+{P}_{G}+{P}_{F}\) | \({R}_{FC}-{R}_{FE}-(1-\eta )S\) | \({B}_{E}-{C}_{EJ}\) |
\({E}_{2}(1,0,0)\) | \(-({B}_{G}+{C}_{GL}-{C}_{GS}+{P}_{G}+{P}_{F})\) | \({R}_{FC}-{R}_{FE}-(1-\eta )S+{P}_{F}\) | \({B}_{E}-{C}_{EJ}\) |
\({E}_{3}(0,1,0)\) | \({B}_{G}+{C}_{GL}-{C}_{GS}\) | \(-[{R}_{FC}-{R}_{FE}-(1-\eta )S]\) | \({P}_{E}-{C}_{ER}\) |
\({E}_{4}(0,0,1)\) | \({B}_{G}+{C}_{GL}-{C}_{GS}+{P}_{G}\) | \((1+\alpha ){R}_{FC}-{R}_{FE}-(1-\eta )S+{P}_{F}\) | \({C}_{EJ}-{B}_{E}\) |
\({E}_{5}(1,1,0)\) | \(-({B}_{G}+{C}_{GL}-{C}_{GS})\) | \(-[{R}_{FC}-{R}_{FE}-(1-\eta )S+{P}_{F}]\) | \({P}_{E}-{C}_{ER}\) |
\({E}_{6}(0,1,1)\) | \({B}_{G}+{C}_{GL}-{C}_{GS}\) | \(-[(1+\alpha ){R}_{FC}-{R}_{FE}-(1-\eta )S+{P}_{F}]\) | \({C}_{ER}-{P}_{E}\) |
\({E}_{7}(1,0,1)\) | \(-({B}_{G}+{C}_{GL}-{C}_{GS}+{P}_{G})\) | \((1+\alpha ){R}_{FC}-{R}_{FE}-(1-\eta )S+{P}_{F}\) | \({C}_{EJ}-{B}_{E}\) |
\({E}_{8}(1,1,1)\) | \(-({B}_{G}+{C}_{GL}-{C}_{GS})\) | \(-[(1+\alpha ){R}_{FC}-{R}_{FE}-(1-\eta )S+{P}_{F}]\) | \({C}_{ER}-{P}_{E}\) |
