Darboux integrability and dynamics of the Basener-Ross population model

Gungor F., Llibre J., Pantazi C.

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, cilt.70, sa.1, ss.427-439, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 70 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s12215-020-00507-4
  • Dergi Adı: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.427-439
  • Anahtar Kelimeler: Basener–Ross population model, Darboux integrability, Darboux invariant, Poincaré disc, Quadratic system
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

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.