Table 6 Endemic equilibrium: eigenvalue analysis.

From: Bistability and bifurcations in HIV-1 infection model with non-monotone responses

Equilibrium

Parameter

Equilibrium

Eigenvalues

Behavior

Endemic

\(a = 0.001\)

(4.0305; 0.1778; 0.8819)

\((-0.0759,-0.0058 \pm 0.2452i)\)

Stable

Endemic

\(a = 0.1\)

(4; 0.1; 1)

(4, 485; 59; 24)

(55, 525; 171; 41)

\((-0.0761, -0.0093 \pm 0.2447i )\)

\((0.0168, -6.8329, -0.2331)\)

\((-0.0258, -10.2283, -0.2396 )\)

Bistable

Endemic

\(c=0.001\)

(1, 474; 57; 2)

(69, 234; 344; 6)

\((0.0214,-2.4404, -0.1734)\)

\((-0.0366,-3.1402,-0.2134)\)

Monostable

Endemic

\(c=0.1\)

(4; 0.1; 1)

(0.4485; 59; 24)

(55, 525; 171; 41)

\((-0.0761, -0.0093 \pm 0.2447i)\)

\((0.0168,-6.8329,-0.2331)\)

\((-0.0258,-10.2283,-0.2396)\)

Bistable