The concept is interesting in itself, but I don't feel like it matches the theme of the jam very well. Two players, two resources, two main strategies (attack vs. starvation)... It just doesn't mechanically express the "only one" theme enough.
Hey, I am not saying that it doesn't fit at all, I just think that the core mechanics could express it better. Also, is it intended that the game shows "Game Over" message even if I drop the AI-controlled zombie's health to 0?