| 贺芳芳,朱惠延,林晋章.具抗原性和简化Holling-IV型发生率肿瘤与免疫系统的定性分析[J].南华大学学报(自然科学版),2022,(5):64~70.[HE Fangfang,ZHU Huiyan,LIN Jinzhang.Qualitative Analysis of the Tumor-Immune System with Antigenicity and a Simplified Holling-IV Function[J].Journal of University of South China(Science and Technology),2022,(5):64~70.] |
| 具抗原性和简化Holling-IV型发生率肿瘤与免疫系统的定性分析 |
| Qualitative Analysis of the Tumor-Immune System with Antigenicity and a Simplified Holling-IV Function |
| 投稿时间：2022-04-27 |
| DOI：10. 19431/ j. cnki. 1673-0062. 2022. 05. 009 |
| 中文关键词: 抗原性 简化Holling-IV型 肿瘤与免疫系统 双稳定 |
| 英文关键词:antigenicity simplified Holling-IV tumor-immune system bistable |
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| 中文摘要: |
| 对一类具抗原性和简化Holling-IV型肿瘤与免疫系统的动力学模型进行了研究,得到了模型有瘤平衡点的存在性,并分析了各平衡点的局部动力学性质。研究表明,该模型在一定条件下会出现双稳定现象,即肿瘤增长的最终结果依赖于其初始状态。 |
| 英文摘要: |
| In this paper, a class of tumor-immune system dynamic model with antigenicity and simplified Holling-IV is studied. The existence of tumor equilibrium points in the model is obtained, and the local dynamic properties of each equilibrium point are studied. The results show that the model is bistable under certain conditions, that is, the final results of tumor growth depends on its initial state. |
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