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 (Journal Indexed in ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 1
  • Publication Date: 2020
  • Doi Number: 10.2478/amns.2019.2.00035
  • Title of Journal : APPLIED MATHEMATICS AND NONLINEAR SCIENCES
  • Page Numbers: pp.499-508
  • Keywords: Fuzzy number, Fuzzy derivative, Fuzzy differential equations (FDE), Fuzzy initial values, DIFFERENTIAL-EQUATIONS, DYNAMICS, CANCER

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.