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Matlab-Programs-for-Nonlinear-Dynamics/antigenN.m
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% function omegout = antigenN(node,gext) | |
% modified from coupleN.m on 2-22-12 | |
function [runv runx] = antigenN(N) | |
if N == 1 | |
rtemp = 2; | |
else | |
rtemp = randpoisson(0.1, 1,N); | |
end | |
rtemp(N) = rtemp(N) + 2; | |
rg(1:N) = rtemp; | |
next = 1; | |
tnow = 0; | |
ypop(1) = 0; | |
for loop = 1:N | |
current_num = loop; | |
tstart = tnow ; | |
tend = tstart + 100*rg(loop); | |
tspan = [tstart tend]; | |
ypop(2*loop) = 0.002; | |
ypop(2*loop+1) = 0; | |
%ypop | |
[t,y] = ode45(@f5,tspan,ypop); | |
[sy,nn] = size(y); | |
nvirus = nn/2; | |
for vloop = 1:nvirus | |
runv(next:(next+sy-1),vloop) = y(:,2*vloop); | |
runx(next:(next+sy-1),vloop) = y(:,2*vloop+1); | |
ypop = y(sy,:); | |
end | |
next = next + sy; | |
tnow = tstart; | |
end | |
function yd = f5(t,y) | |
r = 2.4; % 2.4 | |
a = 2; % 2 | |
b = 0.1; % 0.1 0.1 0.01 | |
c = 1; % 0.1 1 1 | |
k = 1; % 0 1 1 % cross-reactive | |
q = 2.4; % 0 2.4 2.4 % cross-reactive | |
u = 0.2; % 0 0 1 % anti-immune | |
vv = 0; | |
for nloop = 1:current_num | |
vv = vv + y(2*nloop); | |
end | |
for nloop = 1:current_num | |
v(nloop) = y(2*nloop); | |
x(nloop) = y(2*nloop+1); | |
z = y(1); | |
dv(nloop) = v(nloop)*(r - a*x(nloop) - q*z); | |
dx(nloop) = -b*x(nloop) + c*v(nloop) - u *vv*x(nloop); | |
dz = k*vv - b*z - u*vv*z; | |
end | |
for omloop = 1:current_num | |
yd(2*omloop,1) = dv(omloop); | |
yd(2*omloop+1,1) = dx(omloop); | |
yd(1,1) = dz; | |
end | |
end % end f5 | |
end % end antigenN | |