Dear Berend,

Yes, the wnv.sim function should have included "wnv.model" instead of "wnv.incubation." Sorry for the typo.

Although I had inspected the expand.grid() object, I had not connected the error with a naming problem. Thanks so much for the help! The function works perfectly.

Sincerely,
Adam


On 4/25/2012 2:02 AM, Berend Hasselman wrote:
See inline comments.

On 25-04-2012, at 08:40, Adam Zeilinger wrote:

Hello,

I am trying to get the output from the numerical simulation of a system of 
ordinary differential equations for a range of values for three parameters.  I 
am using the ode() function (deSolve package) to run the numerical simulation 
and apply() to run the simulation function for each set of parameter values.  I 
am having trouble getting the apply() function to work.

Here is an example.  Consider an epidemiology model of West Nile Virus:

wnv.model<- function(Time, State, Pars){
                  with(as.list(c(State, Pars)), {
                    dSB<- -(alphaB*betaB*SB*IM)/(SB + IB)
                    dIB<- (alphaB*betaB*SB*IM)/(SB + IB) - deltaB*IB
                    dSM<- bM*(SM + EM + IM) - (alphaM*betaB*IB*SM)/(SB + IB) - 
dM*SM
                    dEM<- (alphaM*betaB*SM*IB)/(SB + IB) - kappaM*EM - dM*EM
                    dIM<- kappaM*EM - dM*IM
                    return(list(c(dSB, dIB, dSM, dEM, dIM)))
                  })
}

# I would like to run a numerical simulation of this model for each combination 
of values for the parameters alphaB, betaB, # and kappaM:

av<- seq(0, 1, by = 0.2) # vector of values for alphaB
bv<- seq(0, 1, by = 0.2) # vector of values for betaB
kv<- seq(0, 1, by = 0.2) # vector of values for kappaM

# Here is my function with ode() for the numerical simulation.  The function returns the last value 
of the simulation for the # "IB" state variable ("Infected Birds").

library(deSolve)
wnv.sim<- function(x){
         Pars<- c(alphaB = x[1], betaB = x[2], deltaB = 0.2, bM = 0.03, dM = 
0.03, alphaM = 0.69, kappaM = x[3])
         State<- c(SB = 100, IB = 0, SM = 1500, EM = 0, IM = 0.0001)
         Time<- seq(0, 60, by = 1)
         model.out<- as.data.frame(ode(func = wnv.incubation,
There is no function wnv.incubation.
Assuming you mean wnv.model

                       y = State,
                       parms = Pars,
                       times = Time))
         model.out[nrow(model.out),]$IB
}

# Finally, here is my apply() function:
dat<- apply(expand.grid(av, bv, kv), 1, wnv.sim)

However, the apply() function returns an error:
Error in eval(expr, envir, enclos) : object 'alphaB' not found
Have you inspected the object returned by expand.grid?
Do head(expand.grid(av,bv,kv))
and you will see that the columns have names which confuse the rest of your 
code.

I was able to repair by doing

pars.grid<- expand.grid(av, bv, kv)
names(pars.grid)<- NULL
dat<- apply(pars.grid, 1, wnv.sim)

HTH,

Berend

--
Adam Zeilinger
Post Doctoral Scholar
Department of Entomology
University of California Riverside
www.linkedin.com/in/adamzeilinger

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