The life of a person is worth more than the life of any animal.
Define "worth". If you are talking about subjective worth, then yes - many people would value the life of a person higher than the life of an animal. But many people - like yourself I am assuming - confuse
subjective worth with
objective worth. As V_Translanka said, there are many dogs that I too hold to much higher value than a great many people.
But how do you determine the
true , objective, value of a life? Is one species more superior than another? Is one species more worthy of living than another?
If I believed that humans were
objectively superior to animals, and thus their lives were
objectively more valuable, then I would become a human doctor instead of a veterinarian because I would conclude, as others like you indirectly say - that I am wasting my life and time by saving the lives of animals instead of the lives of people.