Table 5 Local stability of equilibrium... | Emerald Publishing

Table 5

Local stability of equilibrium point

Equilibrium point	$Det (J)$	$t r (J)$
A(0,0)	$(ξ_{2} - F) (ξ_{1} - F)$	$ξ_{1} + ξ_{2} - 2 F$
B(0,1)	$- (ξ_{2} - C) (ξ_{1} - F)$	$ξ_{2} - ξ_{1} + F - C$
C(1,0)	$- (ξ_{2} - F) (ξ_{1} - C)$	$ξ_{1} - ξ_{2} + F - C$
D(1,1)	$(ξ_{2} - C) (ξ_{1} - C)$	$- ξ_{2} - ξ_{1} + 2 C$
E(⁠ $x^{}$ ⁠, $y^{}$ ⁠)	$- \frac{(ξ_{1} - C) (ξ_{1} - F) (ξ_{2} - C) (ξ_{2} - F)}{{(F - C)}^{2}}$	0

Source(s): Table 5 created by authors