The paper presents numerical models of mean-motion resonances detected in the Quadrantid meteoroid stream consisting of particles of mass 0.003 to 0.03 g, which helps to prove the presence of the following mean-motion resonances: the 1:9 resonance with Venus, 1:5 resonance with Earth, 1:3 and 3:8 resonances with Mars, and 2:1,7:3, 9:4 resonances with Jupiter. Resonance particles create dust trails far from the Earth orbit. Indeed, there is no observational support for resonant effects in the observed Quadrantid meteoroid stream.
