% Generated by roxygen2: do not edit by hand
% Please edit documentation in R/params.R
\name{seair_params}
\alias{seair_params}
\title{Build a parameter list for the mobility-based SEAIR model}
\usage{
seair_params(beta, sigma, kappa, gamma_A, gamma_I, alpha = 1, delta = 1)
}
\arguments{
\item{beta}{Transmission rate \eqn{\beta > 0}.}

\item{sigma}{Rate \eqn{\sigma > 0} of progression from latent (E) to
asymptomatic (A).}

\item{kappa}{Symptom-onset rate \eqn{\kappa > 0} (A to I).}

\item{gamma_A}{Recovery rate \eqn{\gamma_A > 0} from the asymptomatic
compartment.}

\item{gamma_I}{Recovery rate \eqn{\gamma_I > 0} from the symptomatic
compartment.}

\item{alpha}{Relative infectiousness \eqn{\alpha \in [0,1]} of the
asymptomatic stage.}

\item{delta}{Mobility-reduction factor \eqn{\delta \in (0,1]} for the
symptomatic stage.}
}
\value{
A list of class \code{"seair_params"} containing the checked
  parameters.
}
\description{
Constructs and validates the list of transmission and stage-progression
parameters used by the mobility-based SEAIR model
\eqn{\partial_t S = -\beta m S \mathcal{K}},
\eqn{\partial_t E = \beta m S \mathcal{K} - \sigma E},
\eqn{\partial_t A = \sigma E - (\kappa + \gamma_A) A},
\eqn{\partial_t I = \kappa A - \gamma_I I},
\eqn{\partial_t R = \gamma_A A + \gamma_I I},
where
\eqn{\mathcal{K}(A,I) = \int_0^1 \bar{m}\,(\alpha A(\bar{m}) + \delta I(\bar{m}))\,d\bar{m}}.
}
\examples{
seair_params(beta = 1.5, sigma = 0.3, kappa = 0.2,
             gamma_A = 0.1, gamma_I = 0.13,
             alpha = 0.5, delta = 0.3)

}
