Ryan Boudreaux lists the criteria to be evaluated if you are deciding between developing a mobile app or using RWD to optimize your website for mobile devices.
Most businesses and organizations have websites, and with the popularity and proliferation of all sizes of mobile devices, a mobile strategy for those websites is more important than ever. If you haven’t already begun to make those decisions about your own organization’s mobile website presence, the time is now.
If your challenge is deciding between a responsive web design (RWD) overhaul of your website or having a mobile application (MA) developed, there are many issues to consider. Each choice has its benefits and its each has its shortfalls; nevertheless, selecting which option works for you and your organization depends on your circumstances. I have included several specific considerations that you should evaluate before you decide which approach will bring you universal mobile device user interaction.
Referencce: Responsive web design vs. mobile app development