| HIV相关癌症的动力学模型研究(英文) |
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| 引用本文： | 娄洁,文清芝. HIV相关癌症的动力学模型研究(英文)[J]. 工程数学学报, 2010, 27(2) |
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| 作者姓名： | 娄洁 文清芝 |
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| 作者单位： | 上海大学理学院数学系,上海,200444 |
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| 基金项目： | Grand Program on Key Infectious Disease Control，the Shanghai Leading Academic Discipline Project，the CRC-IDRC International Research Chair Program:Canada-China Program on Disease Modeling and Management |
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| 摘 要： | 本文通过建立两个动力学模型,研究了HIV感染者中癌症的高发现象。我们分别研究了其平衡态的存在性及稳定性。对正平衡态还发现了Hopf分支的存在,并发现随着分支参数的变化,系统出现了周期解与混沌交替出现的现象。
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| 关 键 词： | 癌症 动力学模型 Hopf分支 混沌 |
Modelling Cancer Dynamics in HIV-1 Infected Individuals |
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| Abstract: | Cancer remains a significant burden for HIV-infected individuals. In this paper, an ODE model and an DDE model about HIV-1 dynamics incorporating the AIDS-related cancer cells in vitro a studied. For each model, we discuss the existence, the stability properties and the biological meanings of these steady states. Also we find conditions for Hopf bifurcation of the positive steady state, leading to periodic solutions, sequences of period doubling bifurcations and appearance of chaos. Further, chaos and periodic behavior alternate. |
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| Keywords: | HIV HIV cancer dynamic model Hopf bifurcation chaos |
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