NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF PERIODIC SOLUTIONS IN A PREDATOR-PREY MODEL

Pelen N. N., Köksal M. E.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, cilt.2017, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2017
  • Basım Tarihi: 2017
  • Dergi Adı: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Predator-prey systems, semi-ratio dependent functional response, stability analysis, PERSISTENCE, PERMANENCE, STABILITY, SYSTEM
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

Liu et al [14] found necessary and sufficient conditions for the existence of periodic solutions of the predator-prey dynamical systems with semi-ratio dependent generalized functional response. In this work, we obtain a globally attractive or globally asymptotically stable periodic solution for the time scale T is taken as R, with a small change on the condition over generalized functional response on the prey.