```
### functions for the prior distributions of states and
## rates specific to the lotka volterra demo example
## theta prior function
theta_prior = function(N){
return(cbind(th1 = runif(N,-8,8),
th2 = runif(N,-8,8),
th3 = runif(N,-8,8)))
}
## x prior function
x_prior <- function(N){
return(cbind(x1 = rpois(N,50), x2 = rpois(N,100)))
}
prior <- function(N){
x = x_prior(N)
th = theta_prior(N)
## return a list rather than a matrix ready for use with mclapply
return(lapply(1:N, function(i){c(x[i,], th[i,])}))
}
```

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