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Model Mathematics

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Component: environment

Component: S

\frac{d}{d time} (S) = (\frac{r H}{epsilon H + 1.0} - (d S + beta1 S P1 + beta2 S P2)) + g (R1 + R2 + R12)

Component: I1

\frac{d}{d time} (I1) = beta1 S P1 - (a1 I1 + alpha1 I1)

Component: I2

\frac{d}{d time} (I2) = beta2 S P2 - (a2 I2 + alpha2 I2)

Component: I12

\frac{d}{d time} (I12) = beta2 R1 P2 - (a2 I12 + alpha2 I12)

Component: I21

\frac{d}{d time} (I21) = beta1 R2 P1 - (a1 I21 + alpha1 I21)

Component: R1

\frac{d}{d time} (R1) = alpha1 I1 - (d R1 + g R1 + beta2 R1 P2)

Component: R2

\frac{d}{d time} (R2) = alpha2 I2 - (d R2 + g R2 + beta1 R2 P1)

Component: R12

\frac{d}{d time} (R12) = alpha2 I12 + alpha1 I21 - (d R12 + g R12)

Component: P1

\frac{d}{d time} (P1) = k1 (I1 + I21) - (u P1)

Component: P2

\frac{d}{d time} (P2) = k2 (I2 + I12) - (u P2)

Component: kinetic_parameters

Source: Derived from workspace Wodarz, 2003 at changeset f1b2f2637c56.; This exposure was expired. A more up-to-date exposure is available, or view related resources.

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Evolution of Immunological Memory and the Regulation of Competition between Pathogens