Despite the fact that the speaker is NOT an expert in the area of antibiotic resistance, he takes this opportunity to draw the attention of the audience to the subject. The reason is that antibiotic resistance poses such a big threat for our society. The hope is that the formulation and analysis of mathematical models may play in the future a bigger role in reducing this many-faceted problem, than it has so far. For concreteness, a few specific examples of models and their use are presented.