一类具有抗原性的肿瘤-免疫系统的定性分析

Abstract

Abstract:

In this paper, we propose and investigate a tumor-immune system interaction model with antigenicity. The existence of equilibria of the model is determined, and the local dynamics of each feasible equilibrium is analyzed. The global dynamics of the model is obtained by excluding the existence of periodic solutions. It is found that, under certain conditions, the saddle-node bifurcation and the bi-stability of strong equilibrium with tumor and equilibrium without tumor may occur for the model, which imply that the growth and development of the tumor will depend on its initial state. The obtained theoretical analysis results are verified by numerical simulations.

Key words: Tumor-immune system, Antigenicity, Stability, Saddle-node bifurcation

CLC Number:

O175.1

Xin Xie,Jianquan Li,Yuping Wang,Dian Zhang. A Qualitative Analysis of a Tumor-Immune System with Antigenicity[J].Acta mathematica scientia,Series A, 2021, 41(6): 1969-1979.

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A Qualitative Analysis of a Tumor-Immune System with Antigenicity

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