A mathematical model for the phase of sexual reproduction in monogonont rotifers

Recently, the optimal sex allocation in monogonont rotifers is studied in [ 1], and, as a closely related question, the relative frequencies of the rel evant types of mictic females. The authors focus on the evolution of the ag e at which young mictic females lose their fertilization susceptibility and they address the threshold age of fertilization that maximizes resting egg production. Assuming that a stationary population is achieved, with stable age distribution, they obtain their results, without knowing the stationar y population. Our aim is to study this problem in the framework of the theo ry of nonlinear age-dependent population dynamics developed by G. F. Webb i n [13], which is more appropriate from the mathematical point of view and p ermits to us to obtain analytically the stationary population and consequen tly it is analytically shown that a threshold age of fertilization equal to the age of maturation is not an ESS, despite the fact that then the produc tion of resting eggs is maximum, which has been obtained by simulation in [ 1].