Article
An Allee Threshold Model for a Glioblastoma(GB)-Immune System(IS) Interaction with Fuzzy Initial Values
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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.
Keywords
Fuzzy number, Fuzzy derivative, Fuzzy differential equations (FDE), Fuzzy initial values, 05C38, 15A15
Citation
Benli, F. B., İlhan, O. A., & Keskin, Ö. (2019). An allee threshold model for a glioblastoma(gb)-immune system(is) interaction with fuzzy initial values. Applied Mathematics and Nonlinear Sciences, 4(2), 499–508. https://doi.org/10.2478/amns.2019.2.00035
F. B. Benli, O. A. İlhan and Ö. Keskin, “An allee threshold model for a glioblastoma(gb)-immune system(is) interaction with fuzzy initial values,” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 2, pp. 499–508, 2019, doi: 10.2478/amns.2019.2.00035.
Benli FB, İlhan OA, Keskin Ö. An allee threshold model for a glioblastoma(gb)-immune system(is) interaction with fuzzy initial values. Applied Mathematics and Nonlinear Sciences. 2019;4(2):499–508. doi:10.2478/amns.2019.2.00035.
Benli, F. B., İlhan, O. A. and Keskin, Ö. (2019), ‘An allee threshold model for a glioblastoma(gb)-immune system(is) interaction with fuzzy initial values’, Applied Mathematics and Nonlinear Sciences, 4(2), pp. 499–508. Available at: https://doi.org/10.2478/amns.2019.2.00035.
Benli, Fatma Berna, et al. “An Allee Threshold Model for a Glioblastoma(gb)-immune System(is) Interaction with Fuzzy Initial Values.” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 2, 2019, pp. 499–508. https://doi.org/10.2478/amns.2019.2.00035.
Benli, Fatma Berna, Onur Alp İlhan, and Özgür Keskin. “An Allee Threshold Model for a Glioblastoma(gb)-immune System(is) Interaction with Fuzzy Initial Values.” Applied Mathematics and Nonlinear Sciences 4, no. 2 (2019): 499–508. https://doi.org/10.2478/amns.2019.2.00035.
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Published by: Engineering Journals
