An Allee Threshold Model for a Glioblastoma(GB)-Immune System(IS) Interaction with Fuzzy Initial Values

BENLİ F. B., İLHAN O. A., Keskin O.

APPLIED MATHEMATICS AND NONLINEAR SCIENCES, cilt.5, sa.1, ss.499-508, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2478/amns.2019.2.00035
  • Dergi Adı: APPLIED MATHEMATICS AND NONLINEAR SCIENCES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Applied Science & Technology Source, Compendex, zbMATH, DIALNET
  • Sayfa Sayıları: ss.499-508
  • Anahtar Kelimeler: Fuzzy number, Fuzzy derivative, Fuzzy differential equations (FDE), Fuzzy initial values, DIFFERENTIAL-EQUATIONS, DYNAMICS, CANCER
  • Erciyes Üniversitesi Adresli: Evet

Özet

In this paper, we adopt the model of [12] by including fuzzy initial values to study the interaction of a monoclonal brain tumor and the macrophages for a condition of extinction of GB(Glioblastoma) by using Allee threshold. Numerical simulations will give detailed information on the behavior of the model at the end of the paper. We perform all the computations in this study with the help of the Maple software.