One approach that will use local month names:
A=[1 1.2
3 2.3
7 3.2
8 3 ]
B=[2 3.2
4 4.5
5 7
6 0 ]
dn = datenum([repmat(2016, size(A,1)+size(B,1), 1) [A(:,1); B(:,1)], ones(size(A,1)+size(B,1), 1)]); % Create Date Numbers From Months
plot(dn(1:size(A,1)) ,A(:,2),'r');
hold on
plot(dn(size(A,1)+1:end),B(:,2),'b');
datetick('x', 'mmm')
