Bekkal Brikci Fadia auteur aut IRD Boushaba K. auteur aut IRD Arino Ovide auteur aut IRD text journalArticle eng text/pdf born digital access In this paper, we analyze theoretically an age structured population model with cannibalism. The model is nonlinear in that cannibalism decreases the birth rate based on total population density. We use degree theory to prove the existence of unique solution. We also investigate the asymptotic stability of the solutions, and prove under special hypotheses, local and global attractivity of a unique nontrivial steady state. We convert the problem to a delay differential equation and prove that quasiconvergence leads to global attraction. Some numerical simulations are presented exhibiting sustained oscillations which may occur when the hypotheses of theoretical analysis are not satisfied. specialized cannibalism nonlinear age structured population model existence uniqueness and asymptotic stability 020 080 7 2 201-218 2007 1531-3492 https://www.documentation.ird.fr/hor/PAR00001493 10.3934/dcdsb.2007.7.201 1531-3492 [F B010093686] https://www.documentation.ird.fr/hor/PAR00001493 https://www.documentation.ird.fr/intranet/publi/2025-05/010093686.pdf Accès réservé (Intranet de l'IRD) IRD - Base Horizon / Pleins textes 2007-04-27 2025-05-06 PAR00001493 fre