Is human "sperm warfare" a concept supported by biology?
I wanted to respond to your question because while I don't know very much about this particular subject myself, I did have the pleasure of attending a talk by Robert Martin, author of How We Do It (https://www.amazon.com/How-We-Do-Evolution-Reproduction/dp/0465030157/ref=sr_1_2?ie=UTF8&amp;qid=1492260860&amp;sr=8-2&amp;keywords=how+we+do+it).  In the talk and in his book he does address this topic (and the book Sperm Wars) and basically says that while it was a highly influential idea, the underlying science isn't reliable.  He argues that evidence suggests that humans have not evolved under multi-male types of mating systems. There is a lot of evidence to back this up, and revoke the idea of "killer sperms."  Check it out and see what you think!  If anything it is an interesting read.