I would like to solve the next unbounded distributed delay differential equation with matlab
dx/dt = x (r -- c Integrate[x(t-s) ds, {s, 0, Infinity}])
I am also looking for the same , may be you can use XPPAUT :
For my case the code looks like this :
g(t)=heav(t-tm)*((t-tm)^m)*exp(-c*(t-tm))
intx=int{g(t-t')*x}
m=3
c=1.0
#m=1*flr(x/10.0)
#c=1+0.01*x
x'=(-k*x+mi*am*(theta^n)/(theta^n+intx^p))
par tm=3.4
par a=5,p=2,tau=0.2,k=2.2, mi=1.0,am=128,theta=1.33,n=5.5
@ delay=10,total=200,xlo=100,xhi=200,ylo=0,yhi=5
@ maxstor=10000000
done
I want a book in mathematical modelling with differential equation for undergraduate.
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