I read this story back in the mid-90's, so this is all from 20+ year old memories.
The sci-fi collection book had a red cover with a large breasted alien/robot. Or maybe the alien was red but the cover was not.
The praying mantis story was called something like "A Day in the Life of Tsang Jueng" and was from the perspective of the praying mantis. She hunted and interacted with her environment. At one point she meets a spider and the differing hunting methods, net vs ambush, is discussed. She kills and eats a caterpillar.
I remember being enthralled.