This paper investigates novel epidemic spreading problems under the influence of opinion evolution in social networks, where the opinions reflect the public health concerns toward the epidemic. A coupled bilayer network is proposed, where the epidemics propagate over several communities through a physical network layer while the opinions evolve over the same communities through a social network layer. Specifically, the epi-demic spreading process is described by a susceptible-infected-vigilant (SIV) model, which introduces opinion-dependent epi-demic vigilance state compared with classical epidemic models. Additionally, a polar opinion dynamics model is adopted on the social network, which incorporates the infection prevalence and human stubbornness into the opinion evolution. By introducing an opinion-dependent reproduction number, we provide the stability analysis of disease-free and endemic equilibria and derive sufficient conditions for their global asymptotic stability. Simulations are conducted to verify the theoretical results.