Psalms 104:5 says, "When laid the foundations of the earth, that it should not be removed forever." Also, Ecclesiastes 1:4 says, "..the earth abideth forever." Isaiah 45:18 tells us that God formed the earth to be inhabited.
Man will not be allowed to destroy the earth. You can know this by reading Revelation 11: 17, 18: "..and shouldest destroy them which destroy the earth." Then peace will be earth-wide as described at Revelation 21:3,4, "...God's tabernacle is with men.." "And God shall wipe away all tears from their eyes; and there shall be no more death, neither sorrow, nor crying, neither shall there be any more pain: for the former things are passed away. This is in fact what Jesus taught us to pray for at Matthew 6: 9,10 .."thy will be done in earth..."
We do not need to be imprisoned with fear. This world will not be destroyed, only the 'world' of wickedness; like God did with the flood of Noah's day.