Darboux integrability and dynamics of the Basener-Ross population model


Gungor F., Llibre J., Pantazi C.

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2020 (Journal Indexed in ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2020
  • Doi Number: 10.1007/s12215-020-00507-4
  • Title of Journal : RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO

Abstract

We deal with the Basener and Ross model for the evolution of human population in Easter island. We study the Darboux integrability of this model and characterize all its global dynamics in the Poincare disc, obtaining 15 different topological phase portraits.