You will need to explain that you are veterinary students intending to practice in this particular industry. You are not limited to these particular trade magazines. Given that many production medicine problems involve nutrition and that these journals contain considerably more nutrition research than veterinary journals, these journals are worthwhile to subscribe to. Student membership allows access to the 1995 to date Journal of Dairy Science or Journal of Animal Science articles as PDF files. On-line access to the JDSA articles will be particularly useful during your senior Food Animal blocks.
Some hits also have links to full text papers and other materials.
PubMed is covering more of the veterinary literature and includes most of the major veterinary journals. Consumers of your clients' products will certainly see them when they search the web. This is an example of selected on-line information that is available about a specific disease.