Stability of the free equilibrium state of a nonlinear age structured model for a two-sex population

Résumé

This paper focuses on the study of the stability of the free equilibrium state of a nonlinear
age structured model. The spectral properties of semigroup, the Riesz-Fréchet-Kolmogorov
(RFK) criterion in L² combined to the Calkin algebra theory are used to obtain the stability result
of the free equilibrium state.