paper

Darboux integrability and dynamics of the Basener-Ross population model

arXiv:2001.02565

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 Poincaré disc, obtaining different topological phase portraits.

13 pages, 4 Figures