Stability analysis of a mathematical model of tumor with chemotherapy

E.R. Sari; D. Lestari; E. Yulianti; R. Subekti

doi:10.1088/1742-6596/1321/2/022072

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Stability analysis of a mathematical model of tumor with chemotherapy

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E.R. Sari, D. Lestari, E. Yulianti, R. Subekti

2019 Journal of Physics: Conference Series Vol. 1321 Issue 2 Conference paper Cited by 3 SDG 3

Abstract

The purposes of this research are to analyze a mathematical model of tumor with chemotherapy and to present numerical verification of the derived result. There are four classes in the model, namely tumor cells, immune cells which is divided by active CTL cells and helper T cells, and chemotherapy drug. There are three kinds equilibrium point: tumor free, tumor persistent, and coexisting equilibrium. The dynamical behaviour of our system by analysing the existence and stability of the system at each equilibrium is discussed. The dynamical behaviour of the model is also numerically verified. © Published under licence by IOP Publishing Ltd.

Affiliations

Mathematics Education Department, Faculty of Mathematics and Natural Science, Universitas Negeri Yogyakarta, Yogyakarta, Indonesia; Biology Education Department, Faculty of Mathematics and Natural Science, Universitas Negeri Yogyakarta, Yogyakarta, Indonesia

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