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A NONLINEAR. DELAY MODEL DESCRIBING THE GROWTH OF TUMOR CELLS UNDER IMMUNE SURVEILLANCE AGAINST CANCER AND ITS STABILITY ANALYSIS 被引量:3

A NONLINEAR. DELAY MODEL DESCRIBING THE GROWTH OF TUMOR CELLS UNDER IMMUNE SURVEILLANCE AGAINST CANCER AND ITS STABILITY ANALYSIS
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摘要 In this paper, based on some biological meanings and a model which was proposed by Lefever and Garay (1978), a nonlinear delay model describing the growth of tumor cells under immune surveillance against cancer is given. Then, boundedness of the solutions, local stability of the equilibria and Hopf bifurcation of the model are discussed in details. The existence of periodic solutions explains the restrictive interactions between immune surveillance and the growth of the tumor cells.
出处 《International Journal of Biomathematics》 2012年第3期283-295,共13页 生物数学学报(英文版)
关键词 Immune surveillance differential equation time delay local asymptotic stability Hopf bifurcation. 肿瘤细胞 模型描述 预防癌症 非线性 稳定性分析 生长 免疫 延迟
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