If you intend to provide unique functionality or content not available on the national web, then an application is the likely way to go.
For personalized experiences mobile applications are good to go. At certain level of complexity HTML 5 may not work for achieving your goals, HTML indeed can deliver customized user experience, but native apps tend to provide the most tailored UX.
Responsive design is less costly and easily adaptable. If you are trying to monetize content and encourage purchase native mobile app is way to go. Keeping responsive mobile website and enabling SEO for website will send more traffic for website. Submitting to apps store is a lengthy process which takes weeks to months.
Responsive design is a pro as it loads faster and delivers content fast. For fast updates responsive design is the best way to go. Building a platform which is accessible by all the devices ranging from the mobiles, tabs to PC’s is a good choice to go.