Links to your website from credible and relevant sources certainly help your search rankings but as Richard says they are a lot of work.
To get ranking for those specific keywords I’d recommend looking at producing some well optimised blog posts that contain the keywords or related phrases that people are searching for.
As an example, I co-founded an online pet store, http://www.pureandwholesome.co.nz. One of our product ranges was a brand called Nature’s miracle. Big retailers also sold this brand. We produced landing pages and blog content related to Nature’s Miracle. When I searched today for ‘Nature’s Miracle NZ’ Pure and Wholesome was in 4th spot behind some big NZ retail players.
We realised that due to the big range people were not sure which product to choose so we wrote a blog about how to choose which Nature’s Miracle product to use. If you search for phrases such as ‘Which Natures Miracle product’ Pure and Wholesome comes up with the blog post in first place and even out ranks the Nature’s Miracle brand site.
I hope that helps.