. 2014 Jan 17;229:480–498. doi: 10.1016/j.amc.2013.12.062

Table 3.

Routh–Hurwitz criterion of equilibrium with diffusion.

Case	Equilibrium point	$c_{1}$	$c_{2}$	$c_{3}$	$c_{4}$	$c_{5}$	Stable/ Unstable
1	$P 1$	$1.0656$	$4.859 \times 10^{- 8}$	$0.29522$	$0.00478$	$8.061 \times 10^{- 7}$	Stable
2	$P 2$	$1.11365$	$5.820 \times 10^{- 8}$	$0.345648$	$0.006458$	$1.411 \times 10^{- 6}$	Stable
3	$P 3$	$1.1109$	$4.696 \times 10^{- 8}$	$0.322143$	$0.004815$	$9.623 \times 10^{- 8}$	Stable
4	$P 4$	$1.06559$	$4.70 \times 10^{- 8}$	$0.29521$	$0.004779$	$8.049 \times 10^{- 7}$	Stable

Where $c_{1} = q_{1}, c_{2} = q_{5}, c_{3} = q_{1} q_{2} - p_{3}$ , $c_{4} = q_{1} q_{2} q_{3} + q_{1} q_{5} - (q_{3}^{2} + q_{1}^{2} q_{4})$ and $c_{5} = (q_{1} q_{4} - q_{5}) (q_{1} q_{2} q_{3} - q_{3}^{2} - q_{1}^{2} q_{4}) + q_{1}^{2} q_{4} q_{5} - q_{5} {(q_{1} q_{2} - q_{3})}^{2} q_{1} q_{5}^{2}$ .