Numerical analysis of fractional-order tumor model

DOI10.1142/S1793524515500692zbMath1327.34022OpenAlexW2064898257MaRDI QIDQ3449149

Sana Javed, Ayesha Sohail, Sadia Arshad, Khadija Maqbool

Publication date: 3 November 2015

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524515500692

zbMATH Keywords

immunotherapymulti-step differential transformation methodantigenicity of tumorfractional-order tumor model

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical investigation of stability of solutions to ordinary differential equations (65L07) General biology and biomathematics (92B05)

Related Items (5)

A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment ⋮ Well-posedness for a class of phase-field systems modeling prostate cancer growth with fractional operators and general nonlinearities ⋮ Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method ⋮ Stability analysis of mathematical model including pathogen-specific immune system response with fractional-order differential equations ⋮ Asymptotic analysis of a tumor growth model with fractional operators

Cites Work

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• A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
• Mathematical analysis of delay differential equation models of HIV-1 infection
• Stability analysis for a fractional differential model of HIV infection of CD4\(^{+}\) T-cells with time delay
• Interactions between the immune system and cancer: A brief review of non-spatial mathematical models
• Fractional Electrical Impedances in Botanical Elements

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