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Model Mathematics

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Component: environment

Component: X

\frac{d}{d time} (X) = lamda - (mu0 X + K V X)

Component: Y

\frac{d}{d time} (Y) = K V Y - (mu1 (1.0 + a Z) Y)

Component: CD4

CD4 = \frac{X + Y}{1.0 e 11}

Component: V

\frac{d}{d time} (V) = beta Y - (mu2 (1.0 + b Z) V)

Component: Z

\frac{d}{d time} (Z) = theta g_V + rho (f_X - Z) Z f_X = \frac{(1.0 + C1) {(\frac{X}{X0})}^{2.0}}{C1 + {(\frac{X}{X0})}^{2.0}} g_V = \frac{V}{C2 + V}

Component: K

\frac{d}{d time} (K) = omega V (Kmax - K)

Source: Derived from workspace Stilianakis, Dietz, Schenzle, 1997 at changeset 0ddb68acd791.

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Analysis of a Model for the Pathogenesis of AIDS