But, of course, the animals don't know from chromosomes, do they? The more pedantic answer to you question is the inherent sexual stimulants, especially smells, from one species to another just don't register. The fact that if the animals did mate no progeny would result is as the other posters suggest. However, the more basic non-interaction question has garnered a lot of study.
A lot of work has been done on pheromones, for example. Many of these seem to be low key chemical induced actions from one sex to another... sometimes hardly identifiable (such as in humans), while others are more overt, especially the vivid colors seen in birds. At any rate, many factors inhibit such reactions, but most appear, at least for now, to be genetically linked...