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, vol.5, no.1, pp.499-508, 2020 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 1
  • Publication Date: 2020
  • Doi Number: 10.2478/amns.2019.2.00035
  • Journal Name: APPLIED MATHEMATICS AND NONLINEAR SCIENCES
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Applied Science & Technology Source, Compendex, zbMATH, DIALNET
  • Page Numbers: pp.499-508
  • Keywords: Fuzzy number, Fuzzy derivative, Fuzzy differential equations (FDE), Fuzzy initial values, DIFFERENTIAL-EQUATIONS, DYNAMICS, CANCER
  • Erciyes University Affiliated: Yes

Abstract

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.