Calculates equilibrium state variables U0, Ul, S0, Sl, T0 and Tl based on I and model parameters

get_equilibrium_states_vivax_rcd_no_referral(
  I,
  lambda,
  r,
  gamma,
  f,
  alpha,
  beta,
  rho,
  sigma,
  delta,
  omega,
  iota_star,
  nu,
  tau,
  eta,
  rho2
)

Arguments

I

proportion of infectious individuals at equilibrium (U0+Ul+T0+Tl)

lambda

transmission rate

r

blood clearance rate

gamma

liver clearance rate

f

relapse frequency

alpha

effective treatment probability

beta

probability of liver clearance

rho

observation rate

sigma

delay to treatment (1/duration of the delay)

delta

importation rate

omega

vector control intensity. If vector control is not the purpose of the analysis, omega can be fixed to 1.

iota_star

RCD parameter: maximum number of index cases investigated per population per unit of time at equilibrium

nu

RCD parameter: number of secondary cases investigated per index case

tau

RCD parameter: targeting ratio of the RCD

eta

RCD parameter: probability that an investigated cases is detected (symptoms, test sensitivity, etc.)

rho2

RCD parameter: observation rate for reactively-detected cases

Value

A list with the equilibrium states (U0, Ul, T0, Tl, S0 and Sl)