One approach is to first look for the treshold value, build a logical array using that values and then use it together with an additional logic check to adjust the values
MyArray = [0 0 0.001 0.02 0.05 0.2 0.15 0.13 0.08 0.06 0.03 0.02 0.01 0 0 0 0];
% find first occasion where we go over 0.1
CheckMe = false(size(MyArray));
CheckMe( find(MyArray > 0.1, 1) : end) = true;
% afterwards, set all values smaller then 0.05 to 0
MyArray( CheckMe & MyArray < 0.05) = 0
% workarround to display the last values
MyArray(end-7 : end)
