A modification of the logistic equation is critically analysed and its appl
ication to competition between sexual and asexual populations presented. Su
ch a model of competition can be a formal representation of the tangled ban
k hypothesis of the evolution and maintenance of sexuality. It shows that t
he elimination of asexual individuals by sexual ones is possible only if th
e size of the habitat or the width of the ecological niche of sexual indivi
duals is twice as large as that of asexual ones. Go-existence of these two
forms is theoretically possible under much less rigid conditions. Neverthel
ess, such co-existence does not imply that the ecological cost of the elimi
nation of asexual individuals by sexual ones is lower than the commonly acc
epted biological cost of such elimination.