Simulating FDE's in Matlab

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KayLynn
KayLynn 2014-2-3
I am trying to simulate the following two finite differential equations in Matlab: N_t+1=N_t+rNt and N_t+N_t[r-)r/K)N_t].
I am given a data setting containing n and t: t=0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 n=105 118 139 164 189 214 240 265 290 316 330 348 363 369 373
t=0:1:14; n=[105, 118, 139, 164, 189, 214, 240, 265, 290, 316, 330, 348, 363, 369, 373]; N2= n+r*n; Y=(r-r/ k*n); figure; plot(t, n, 'o-'); xlabel('time'); ylabel('number of cells'); title(' Time Versus Cell Growth') coefficients=polyfit(t,n,2); tfit=0:1:14; yfit = polyval(coefficients,tfit); hold on plot(tfit,yfit,'r','LineWidth',2) legend('Original data','Polynomial Fit', 2)
for i=1 c(i)=(n(i+1)-n(i))/n(i) end r=
I am not sure where to do next if this is even on the correct path. Thanks

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