# cicada model 
#
# here are the predators decay plus feeding on emerged stuff
pt1=nu*p+a*mu^k*delay(n,k)
# amount of food left after taking into acct of all the grubs
c=max(d-sum(1,k-1)of((mu^i')*delay(n,i'-1)),0)
#  
p'=pt1
# new number is whats left after predation and what could have eaten
n'=min(f*max(mu^k*delay(n,k-1)-pt1,0),c)
# set initial delay to 100
n(0)=100-0*t
aux ct=c
par a=.042,f=10,d=10000,nu=.95,mu=.95,k=7
# note you must set delay initial data to 100
@ meth=disc,dt=1,total=200,bound=1000000,delay=20
@ xhi=200,yhi=10000,yp=n,ylo=0
done