Both positive and weak positive are the results of qualitative testing. If quantitative testing is taken, positive is a higher titer, and the qualitative result will be clearly judged as positive. A weak positive is a titer that is higher than the upper limit of normal, but lower than a positive, and the qualitative result will be judged as weakly positive. However, a weak positive is still essentially a positive test, not a negative test, and may be in the early stages of disease or recovery from disease. For example, if the normal value of an indicator is 5-10, a range of 30 or more is recognized as positive in a quantitative test. Whereas quantitative is in the teens or twenties range, qualitative is likely to judge them as weakly positive. Therefore, the difference between a positive and a weak positive is not too big. If you want a more precise distinction, you should check the quantification of this item.