function z = zeroinfect(nu)

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  function z = zeroinfect(nu)                           %
%  for                                                   %
%  A solution to CSE Your Homework Assignment Project 5  %
%  Models of Infection: Person to Person                 %
%  Dianne P. O'Leary   09/03                             %
%                                                        %
%  This function is used in Problem 5 to find a          %
%  vaccination strategy that produces an average target  %
%  infection rate.                                       %
%  The input is the vaccination rate, and the output     %
%  is the infection rate minus the target.               %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

global target ntimes n k tau delta 

for i=1:ntimes,

    zz(i) = modelmc(n,k,tau,delta,nu,0);
  
end

z = mean(zz)/(n*n) - target;