The hMoI module for the XH component

Implements the XH component using a hybrid model that tracks the mean Multiplicity of Infection (MoI) for total and apparent infections. This model is not extensible to dynamic human population density or mass treatment.

State Variables

m1

mean MoI for all infections

m2

mean MoI for apparent (detectable) infections

Parameters

r1

clearance rate for all infections

r2

clearance rate for apparent infections

b

probability of infection per infectious bite

Dynamics

$$ \begin{array}{rl} dm_1/dt &= h - r_1 m_1 \\ dm_2/dt &= h e^{-m_1} (e^{m_2} - 1) - r_2 m_2 \\ \end{array}$$ where \(h\) is the force of infection computed upstream.