They have to be arranged in the following way :
L T L T L T L T L
The 5 lions should be arranged in the 5 places marked ‘L’.
This can be done in 5! ways.
The 4 tigers should be in the 4 places marked ‘T’.
This can be done in 4! ways.
Therefore, the lions and the tigers can be arranged in 5!´ 4! ways = 2880 ways.