function retval = logisticfnjac(x,P) % usage: y = logisticfnjac(x,P) % description: returns logistic jacobian of logisticfn % given arguments x and parameters P. %retval = [P(2)/(x(1)-P(2));1;-P(1)]; % P=x(1)/(1+exp(x(2)-x(3)*t)) %retval = [-1;P(2)*exp(x(2)-x(3)*P(1));-P(1)*P(2)*exp(x(2)-x(3)*P(1))]; % P=x(1)/(1+exp(x(2)-x(3)*t)) tmp1 = 1/exp(x(3)*P(1)); tmp2 = x(2) + (x(1)-x(2))*tmp1; retval = [x(2)*x(1)*tmp1 - x(2)*tmp2; x(2)*x(1)*(1-tmp1) - x(1)*tmp2; ... -x(2)*x(1)*(x(1) - x(2))*P(1)*tmp1]/tmp2^2;