Deuteronomy 11:13-15

I think that these verses clearly establish that animals' well-being is directly tied to man's exercise of his free moral agency. If a man chooses to obey, God will bless both animals and man. As the animals are blessed, so is man; as man is blessed, so are the animals. If a man's livestock is not eating, then it is pretty certain that the wild things are not eating either.

It is interesting to note the sequence here, especially in verse 15. Much of man's sense of physical well-being is usually illustrated in the Bible by a full stomach. It is an illustration that God uses that if your stomach is full, you feel that things are all right in the world. What He is saying is this: if you look at the sequence, that the animals must first be blessed before the blessing accrues to man.