Hate to break it to you, but your dog probably has a better chance of making it through a total societal collapse than you do. A quick Internet search of "dog survives" lists everything from drowning to being shot, from bear attacks to war -- whereas the closest you've ever come to "surviving disaster" is getting your wisdom teeth pulled, and even then it was only with the help of a cadre of trained medical professionals and a carton of the strongest painkillers on Earth.
To me, the best option is to store emergency food. How much? If you have none, store enough for a few days. If you have enough for a few days, get enough for a week. How much you store depends on what time frame you think you're at risk for having to be completely independent. The early settlers of the southwest liked to store enough food for a whole year and still do to this day!