Compute derivatives for the XH module SIPd

Compute the derivatives for SIPd compartmental model: $$ \begin{array}{rrrrcc} dH/dt =& B(t,H) + D \cdot H \\ dI/dt =& (1-\rho) h S & - (r+\xi) I &&+ D \cdot I \\ dP/dt =& (\rho h +\xi)S & +\xi I & - \eta P &+ d{\cal H}(P) \end{array} $$ where \(S = H-I-P\); \(B(t, H)\) is the time-dependent birth rate; and the demographic matrix is \(D\)

# S3 method for class 'SIPd'
dXHdt(t, y, xds_obj, i)

Arguments

t

current simulation time

y

state vector

xds_obj

an xds model object

i

the host species index

Value

a numeric vector

See also

The parameters are defined in make_XH_obj_SIPd