@article{PAR00001493,
  title = {{N}onlinear age structured model with cannibalism},
  author = {{B}ekkal {B}rikci, {F}adia and {B}oushaba, {K}. and {A}rino, {O}vide},
  editor = {},
  language = {{ENG}},
  abstract = {{I}n this paper, we analyze theoretically an age structured population model with cannibalism. {T}he model is nonlinear in that cannibalism decreases the birth rate based on total population density. {W}e use degree theory to prove the existence of unique solution. {W}e also investigate the asymptotic stability of the solutions, and prove under special hypotheses, local and global attractivity of a unique nontrivial steady state. {W}e convert the problem to a delay differential equation and prove that quasiconvergence leads to global attraction. {S}ome numerical simulations are presented exhibiting sustained oscillations which may occur when the hypotheses of theoretical analysis are not satisfied.},
  keywords = {cannibalism ; nonlinear age structured population model ; existence ; uniqueness and asymptotic stability},
  booktitle = {},
  journal = {{D}iscrete and {C}ontinuous {D}ynamical {S}ystems {S}eries {B}},
  volume = {7},
  numero = {2},
  pages = {201--218},
  ISSN = {1531-3492},
  year = {2007},
  DOI = {10.3934/dcdsb.2007.7.201},
  URL = {https://www.documentation.ird.fr/hor/{PAR}00001493},
}