Table 6 Stability analysis results of equilibrium point when E-F > 0 and G-H < 0.
equilibrium point | det J | det J sign | tr J | tr J sign | local stability |
|---|---|---|---|---|---|
x = 0, y = 0 | (G-H)*(B-D) | >0 | (G-H) + (B-D) | <0 | ESS |
x = 0,y = 1 | -(G-H)*(A-C) | >0 | (A-C)-(G-H) | >0 | math. |
x = 1,y = 0 | -(B-D)*(E-F) | >0 | -(B-D) + (E-F) | >0 | math. |
x = 1,y = 1 | (A-C)*(E-F) | >0 | -(A-C)-(E-F) | <0 | ESS |
x = x*,y = y* | -(B-D)*(G-H)*(1-x*)*(1-y*) | <0 | 0 | math. |
