. 2020 Jan 6;17(1):375. doi: 10.3390/ijerph17010375

Table 2.

The eigenvalues of each equilibrium point’s (EP’s) Jacobian matrix.

EP	Eigenvalue
$D_{1} (0, 0, 0)$	$R_{1} ({\bar{e}}_{1}) - C_{1} ({\bar{e}}_{1}) - R_{1} ({\underline{e}}_{1}) + C_{1} ({\underline{e}}_{1})$	$R_{2} ({\bar{e}}_{2}) - C_{2} ({\bar{e}}_{2}) - R_{2} ({\underline{e}}_{2}) + C_{2} ({\underline{e}}_{2})$	$E_{3} ({\underline{e}}_{2}) - (1 - b) B - G$
$D_{2} (0, 0, 1)$	$\begin{matrix} E_{1} ({\bar{e}}_{1}) - E_{1} ({\underline{e}}_{1}) + R_{1} ({\bar{e}}_{1}) \\ - C_{1} ({\bar{e}}_{1}) - R_{1} ({\underline{e}}_{1}) + C_{1} ({\underline{e}}_{1}) \end{matrix}$	$\begin{matrix} R_{2} ({\bar{e}}_{2}) - C_{2} ({\bar{e}}_{2}) - R_{2} ({\underline{e}}_{2}) \\ + C_{2} ({\underline{e}}_{2}) + E_{2} ({\bar{e}}_{2}) - E_{2} ({\underline{e}}_{2}) \end{matrix}$	$- (E_{3} ({\underline{e}}_{2}) - (1 - b) B - G)$
$D_{3} (0, 1, 0)$	$R_{1} ({\bar{e}}_{1}) - C_{1} ({\bar{e}}_{1}) - R_{1} ({\underline{e}}_{1}) + C_{1} ({\underline{e}}_{1})$	$- (R_{2} ({\bar{e}}_{2}) - C_{2} ({\bar{e}}_{2}) - R_{2} ({\underline{e}}_{2}) + C_{2} ({\underline{e}}_{2}))$	$E_{3} ({\bar{e}}_{2}) - (1 - b) B - G$
$D_{4} (0, 1, 1)$	$\begin{matrix} E_{1} ({\bar{e}}_{1}) - E_{1} ({\underline{e}}_{1}) + R_{1} ({\bar{e}}_{1}) \\ - C_{1} ({\bar{e}}_{1}) - R_{1} ({\underline{e}}_{1}) + C_{1} ({\underline{e}}_{1}) \end{matrix}$	$- (\begin{matrix} R_{2} ({\bar{e}}_{2}) - C_{2} ({\bar{e}}_{2}) - R_{2} ({\underline{e}}_{2}) \\ + C_{2} ({\underline{e}}_{2}) + E_{2} ({\bar{e}}_{2}) - E_{2} ({\underline{e}}_{2}) \end{matrix})$	$- (E_{3} ({\bar{e}}_{2}) - (1 - b) B - G)$
$D_{5} (1, 0, 0)$	$- (R_{1} ({\bar{e}}_{1}) - C_{1} ({\bar{e}}_{1}) - R_{1} ({\underline{e}}_{1}) + C_{1} ({\underline{e}}_{1}))$	$R_{2} ({\bar{e}}_{2}) - C_{2} ({\bar{e}}_{2}) - R_{2} ({\underline{e}}_{2}) + C_{2} ({\underline{e}}_{2})$	$E_{3} ({\underline{e}}_{2}) - (1 - b) B - G$
$D_{6} (1, 0, 1)$	$- (\begin{matrix} E_{1} ({\bar{e}}_{1}) - E_{1} ({\underline{e}}_{1}) + R_{1} ({\bar{e}}_{1}) \\ - C_{1} ({\bar{e}}_{1}) - R_{1} ({\underline{e}}_{1}) + C_{1} ({\underline{e}}_{1}) \end{matrix})$	$\begin{matrix} R_{2} ({\bar{e}}_{2}) - C_{2} ({\bar{e}}_{2}) - R_{2} ({\underline{e}}_{2}) \\ + C_{2} ({\underline{e}}_{2}) + E_{2} ({\bar{e}}_{2}) - E_{2} ({\underline{e}}_{2}) \end{matrix}$	$- (E_{3} ({\underline{e}}_{2}) - (1 - b) B - G)$
$D_{7} (1, 1, 0)$	$- (R_{1} ({\bar{e}}_{1}) - C_{1} ({\bar{e}}_{1}) - R_{1} ({\underline{e}}_{1}) + C_{1} ({\underline{e}}_{1}))$	$- (R_{2} ({\bar{e}}_{2}) - C_{2} ({\bar{e}}_{2}) - R_{2} ({\underline{e}}_{2}) + C_{2} ({\underline{e}}_{2}))$	$E_{3} ({\bar{e}}_{2}) - (1 - b) B$
$D_{8} (1, 1, 1)$	$- (\begin{matrix} E_{1} ({\bar{e}}_{1}) - E_{1} ({\underline{e}}_{1}) + R_{1} ({\bar{e}}_{1}) \\ - C_{1} ({\bar{e}}_{1}) - R_{1} ({\underline{e}}_{1}) + C_{1} ({\underline{e}}_{1}) \end{matrix})$	$- (\begin{matrix} R_{2} ({\bar{e}}_{2}) - C_{2} ({\bar{e}}_{2}) - R_{2} ({\underline{e}}_{2}) \\ + C_{2} ({\underline{e}}_{2}) + E_{2} ({\bar{e}}_{2}) - E_{2} ({\underline{e}}_{2}) \end{matrix})$	$- (E_{3} ({\bar{e}}_{2}) - (1 - b) B)$