This is known as the problem of evil in philosophy of religion. It was this exact problem that caused Darwin to stop believing in God and to develop his theory of natural selection.
My view is that God is love (1 John 4:8;16) and is a free being who created us in his image (Genesis 1:27), which entailed giving us the freedom to choose to act contrary to our nature and to thereby corrupt (Genesis 6:12) the good world God created (Genesis 1:31). But built into the world he created was a limit to this freedom, that ultimately we will repent and return to our loving nature (Jonah 3:10) as the faithful and wise caretakers of the earth that God created us to be (Genesis 1:28, Genesis 2:15, Luke 12:42). When this happens, all the earth will be restored from all the damage we caused while acting contrary to our nature (2 Chronicles 7:14, Revelation 21:4), including animal fear (Habakkuk 2:17, Genesis 9:2) and all other forms of violence and predatory behavior (Hosea 2:18, Ezekiel 34:25, Isaiah 11:9).
Click here for more Q&A about Animals and Stewardship in the Bible
Swords to Plowshares 