Here you go.
p52. Demoralizer: add, after “the enemy unit is intimidated”, a “until the next Combat Phase”
p51. Animal Mimicry: After “will become Intimidated”, add “until after the next Movement Phase”.
So Demoralizer takes effect during the middle of the Combat Phase (when the attacker makes an attacker against the Demoralizer). It lasts that Combat Phase and the next Movement Phase. It does not affect the next Combat Phase.
Animal Mimicry takes effect during the Movement Phase (enemy unit comes with 6 inches of this unit), and affects the next Combat Phase (still this turn) and the next Movement Phase (of next turn), but not the Combat Phase of the next turn.