Table 4 Eigenvalue analysis for immune-free equilibrium concerning \(H_1:=cI_1^*-b\eta\).
From: Bistability and bifurcations in HIV-1 infection model with non-monotone responses
Equilibrium type | Parameter | Equilibrium | Eigenvalues | Behavior |
|---|---|---|---|---|
Immune-free | \(a=0.001\) | (3.7038;Â 0.1778;Â 0) | \((0.0778; \pm 0.2191i), H_1 > 0\) | Unstable |
Immune-free | \(a = 0.1\) | (3;Â 0.1;Â 0) | \((0.0003; \pm 0.0022i), H_1 > 0\) | Unstable |
(1, 623; 76; 0) | \((0.7627; -0.0202; 0.0002), H_1 > 0\) |  | ||
(70, 432; 504; 0) | \((5.0343; -0.0200; -0.0004), H_1 > 0\) |  | ||
Immune-free | \(c=0.001\) | (4; 0.1; 0) | (-0.0982;-0.0032 ± 0.2184i), \(H_1 < 0\) | Monostable |
(1, 203; 57; 0) | \((0.4690; -2.0172; 0.0226), H_1 > 0\) |  | ||
(72, 217; 442; 0) | \((4.3156; -2.0030; -0.0388), H_1 > 0\) |  | ||
Immune-free | \(c=0.1\) | (4;Â 0.1;Â 0) | \((0.08; \pm 0.22i), H_1 > 0\) | Unstable |
(1, 203; 57; 0) | \((56.80; + 0.0000i \pm 02.02), H_1 > 0\) |  | ||
(72, 217; 442; 0) | \((441.46; -2; -0.04), H_1 > 0\) |  |
