Table 2.

Routh–Hurwitz criterion of equilibrium without diffusion.

Case	Equilibrium point	$c_1$	$c_2$	$c_3$	$c_4$	$c_5$	Stable/Unstable
1	$P1$	$0.97677$	$6.902\times {10}^{-7}$	$0.20805$	$5.343\times {10}^{-6}$	$7.613\times {10}^{-12}$	Stable
2	$P2$	$1.02482$	$7.641\times {10}^{-11}$	$0.24969$	$6.903\times {10}^{-6}$	$1.114\times {10}^{-11}$	Stable
3	$P3$	$1.02416$	$6.560\times {10}^{-11}$	$0.23359$	$6.059\times {10}^{-6}$	$8.399\times {10}^{-12}$	Stable
4	$P4$	$0.97676$	$6.199\times {10}^{-11}$	$0.20804$	$5.109\times {10}^{-6}$	$6.421\times {10}^{-12}$	Stable

Where $c_1=p_1\text{,}{c}_2=p_5\text{,}{c}_3=p_1{p}_2-p_3$, $c_4=p_1{p}_2{p}_3+p_1{p}_5-(p_3^2+p_1^2{p}_4)$,

and $c_5=(p_1{p}_4-p_5)(p_1{p}_2{p}_3-p_3^2-p_1^2{p}_4)+p_1^2{p}_4{p}_5-(p_5{(p_1{p}_2-p_3)}^2+p_1{p}_5^2)$.