Table 1 Numerical equilibrium points for different values of the fractional index σ and \(\alpha = 0.5\)

System (12)

(19.8, 8.3, 0, 0)

(45.5, 15.7, 0, 0)

(84.9, 5.2, 0, 0.4)

(0, 0, 0, 0)

(1.4, 1.8, 0.1, 0.1)

(10.8, 16.9, 0.3, 0)

(84.3, 38.5, 0, 0)

(94.5, 44.7, 0, 0)

(0, 7.9, 0, 0)

(11.1, 3.8, 0.4, 0.1)

(11.8, 5.3, 0.8, 0.4)

(11.8, 5.3, 0.9, 0.5)

System (13)

(1.6, 1.6, 0.1, 0.1)

(8.5, 4.9, 0.1, 0.4)

(11.7, 0, 0.5, 0)

(0, 0, 0, 0)

(1.1, 14.6, 0.1, 0)

(47.5, 14.6, 0, 0)

(84.3, 38.5, 0, 0)

(94.5, 44.7, 0, 0)

(19.5, 0.9, 0, 0.1)

(0, 5.2, 0, 0.5)

(11.8, 5.3, 0.4, 0.8)

(11.8, 5.3, 0.5, 0.9)

System (14)

(0.84, 3.1, 0.1, 0.1)

(2.4, 11.4, 0.4, 0)

(0, 11.8, 0.8, 0)

(0, 0, 0, 0)

(9.01, 2.3, 0.1, 0)

(84.7, 38.4, 0, 0)

(94.5, 44.7, 0, 0)

(0.4, 30.8, 0, 0.1)

(5.2, 11.8, 0.8, 0.3)

(5.3, 11.8, 0.9, 0.4)

System (15)

(0.9, 2.5, 0.1, 0.2)

(8.05, 5.02, 0.1, 0.4)

(0, 5.2, 0, 0.9)

(0, 0, 0, 0)

(0.6, 16.9, 0.1, 0)

(48.7, 14.3, 0, 0)

(84.3, 38.5, 0, 0)

(94.5, 44.7, 0, 0)

(19.1, 1.7, 0, 0.2)

(9.9, 0, 0.2, 0)

(11.8, 5.3, 0.4, 0.8)

(11.8, 5.3, 0.5, 0.9)