#' Deterministic Model of Fungal Growth
#'
#' \code{DetModel} solves differential equasions accociated with the
#' deterministic model of fungal growth.
#'
#' @param t time
#' @param y dependant varriables calculated within
#' \code{\link{hibernationModel}}
#' @param params parameters accociated with \code{bat.params},
#' and \code{fung.params}
#'
#' @details internal function for \code{\link{hibernationModel}} to calculate the
#' proportion of time and energy spent in the various states that compose a hibernation.
#'
#' @family Model Engine
#' @seealso \code{\link{hibernationModel}}, \code{\link{buildEnv}}
#' @example ExampleScripts/hibernationModel_ex.R
#' @export
batDynamic <- function(t,y, params){
with(c(as.list(y),params),{
# time in torpor
ttor <- torporTime(Ta = Ta, pct.rh = pct.rh, areaPd = FungalArea, WNS = WNS,
bat.params = params, fung.param = params)
# energy cost for torpor
Etor = torporEnergy(Ta = Ta, WNS = WNS, areaPd = FungalArea,
bat.params = params)
# time to arouse and cool
tar <- arousalTime(Ta = Ta, bat.params = params)
tc <- coolTime(Ta = Ta, bat.params = params)
#tfl <- flyingTime(bat.params = params)
teu <- euthermicTime(bat.params = params) #time inactive euthermic
# change in TorporProp (pT)/dt
dpTdt <- (pE/teu + pAr/tar + pC/tc)/3 - pT/ttor
# change in ArousalProp (pAr)/dt
dpAdt <- (pE/teu + pC/tc + pT/ttor)/3 - pAr/tar
# change in CoolProp (pC)/dt
dpCdt <- (pE/teu + pAr/tar + pT/ttor)/3 - pC/tc
# change in EuthermicProp (pE)/dt
dpEdt <- (pT/ttor + pAr/tar + pC/tc)/3 - pE/teu
# Cange in FlyingProp (pFl)/dt
#dpFldt <- (pT/ttor + pAr/tar + pC/tc + pE/tieu)/4 - pFl/tfl
# change in EnergyConsumed/dt
dJdt <- Eeu*pE + Etor*pT + Ear*pAr + Ec*pC
# change in precEArousal/dt
dpJdt <- Eeu*pE +Ear*pAr + Ec*pC
#change in FungalArea/dt
dFdt <- growth*pT
list(c(dpTdt, dpAdt, dpCdt, dpEdt, dJdt, dpJdt, dFdt))
})
}
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