Cohort dynamics for a human / host model

Usage

xds_solve_cohort(xds_obj, bday = 0, A = 10, da = 10)

Arguments

xds_obj

an xds object

bday

the cohort birthday

A

the maximum age to compute (in years)

da

the output interval (age, in days)

Value

an xds object

Details

This method substitutes age for time: a model $$\mathcal{X}\mathcal{(}\mathcal{t}\mathcal{)}$$ is solved with respect to age $a$: $$\mathcal{X}\mathcal{(}\mathcal{a}\mathcal{)}\mathcal{,}$$ where the daily EIR is computed by a trace function with four elements:

• $\overline{E}$ or eir, the mean daily EIR,

• $\omega (a)$ or F_age, a function of age

• $S(t)$ or F_season, a function of time of year

• $T(t)$ or F_trend, a function describing a trend

For a cohort born on day $B$, the function creates a mesh on age / time, where time and age are related by the formula: $$t=B+a$$ and the trace function is: $$E(a,t)=\hat{E}\omega (a)S(t)T(t)$$ The output is returned as xds_obj$outputs$cohort