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#This classic predator prey model (with no stage structure)
library(stagePop)
growthRatePred=10
growthRatePrey=1
deathRatePrey=1
deathRatePred=0.5
#solver.options=list(DDEsolver='deSolve',atol=1e-6,rtol=1e-6,method='lsoda',hbsize=1e4)
solver.options=list(DDEsolver='PBS',tol=1e-7,hbsize=1e4,dt=0.01)
ppFunctions <- list(
reproFunc=function(x,time,species,strain){
if (species==1){reprod=growthRatePrey*x$prey['adults',1]}
if(species==2){reprod=growthRatePred*x$prey['adults',1]*x$predator['adults',1]}
return(max(0,reprod))
},
deathFunc=function(stage,x,time,species,strain){
if (species==1){v=deathRatePrey*x$predator['adults',1]}
if (species==2){v=deathRatePred}
return(max(0,v))
},
durationFunc=function(stage,x,time,species,strain){
return(0)
},
immigrationFunc=function(stage,x,time,species,strain){
return(0)
},
emigrationFunc=function(stage,x,time,species,strain){
return(0)
}
)
#-------------------------------RUN MODEL----------------------------------------------------
modelOutput=popModel(
numSpecies=2,
numStages=c(1,1),
timeDependLoss=c(TRUE,FALSE),
timeDependDuration=c(FALSE,FALSE),
ICs=list(matrix(0.3,1,1),matrix(1,1,1)),
timeVec=seq(0,100,0.1),
solverOptions=solver.options,
plotFigs=TRUE,
rateFunctions=ppFunctions,
speciesNames=c('prey','predator'),
stageNames=list('adults','adults')
)
dev.new()
par(mar=c(5,5,2,2))
plot(modelOutput[,2],modelOutput[,3],type='l',xlab='prey',ylab='predator',cex.lab=2,cex.axis=1.5)
x=0.3; y=1
C=growthRatePrey*log(y)-deathRatePrey*y-growthRatePred*x+deathRatePred*log(x)
x=modelOutput[,2]; y=modelOutput[,3]
Cmod=growthRatePrey*log(y)-deathRatePrey*y-growthRatePred*x+deathRatePred*log(x)
print(c(C,summary(Cmod)))
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