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The SIS module for the XH component

Source: R/human-XH-SIS.R
SIS.Rd

Implements the XH component using a Susceptible-Infected-Susceptible (SIS) compartmental model of human infection dynamics.

State Variables

H

total human (or host) population density

I

density of infected humans

Note: susceptible density \(S = H - I\).

Parameters

r

clearance rate for infections

xi

mass treatment rate (\(\xi(t)\))

B

time-dependent birth rate function \(B(t, H)\)

D

linear operator (matrix) for mortality, migration, aging, and transfers

Dynamics

$$ \begin{array}{rl} dH/dt &= B(t,H) + D \cdot H \\ dI/dt &= h(H-I) - rI - \xi(t) + D \cdot I \\ \end{array}$$ where \(h\) is the force of infection computed upstream.