刘芳,朱恵延,郭宇.一类具病毒感染的肿瘤免疫时滞模型稳定性与hopf分支分析[J].南华大学学报(自然科学版),2020,34(6):67~72.[LIU Fang,ZHU Huiyan,GUO Yu.Hopf Bifurcation and Stability Analysis on a Class of Tumor-Immune Model of Virus Infection with Delay[J].Journal of University of South China(Science and Technology),2020,34(6):67~72.] |
一类具病毒感染的肿瘤免疫时滞模型稳定性与hopf分支分析 |
Hopf Bifurcation and Stability Analysis on a Class of Tumor-Immune Model of Virus Infection with Delay |
投稿时间:2020-06-28 |
DOI: |
中文关键词: 肿瘤免疫模型 时滞 平衡点 hopf分支 |
英文关键词:tumor-immune model delay equilibrium point hopf-bifurcation |
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中文摘要: |
讨论了一类具病毒感染的肿瘤免疫时滞模型,运用时滞微分方程理论分析了模型平衡点的稳定性,得到了hopf分支存在的条件。数值模拟支持了理论分析结果。 |
英文摘要: |
This article concerns a class of tumor-immune model of virus infection with delay.The stability of the equilibrium point of the model is analyzed by using the time-delay differential equation theory,and the conditions for the existence of hopf bifurcation are obtained.The numerical simulation supports the theoretical analysis results. |
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