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一类具有免疫损害项的带时滞的病毒感染模型分析

Analysis of a delayed viral infection model with an immune impairment term
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摘要 对一类具有免疫损害项的带时滞的病毒感染模型进行了动力学分析,研究未感染平衡点的全局稳定性,并给出感染平衡点产生Hopf分岔的充分条件;数值模拟验证了主要分析结果,从而解释了免疫反应的复杂性. The dynamic behavior of a delayed viral infection model with an immune impairment term is analyzed. The globally stability of the viral free equilibrium is investigated, and the sufficient conditions of the existence of Hopf bifurcation around infected equilibrium are studied. Numerical simulations are carried out to illustrate the main results, which can explain the complexity of immune response,
作者 张晓 黄东卫 郭永峰
机构地区 天津工业大学理学院.天津
出处 《天津工业大学学报》 CAS 北大核心 2013年第4期79-84,共6页 Journal of Tiangong University
基金 国家自然科学基金资助项目(11102132)
关键词 免疫损害 时滞 稳定性 HOPF分岔 病毒感染模型 immune impairment time delay stability Hopf bifurcation viral infection model
分类号 O193 [理学—基础数学]
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参考文献16

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二级参考文献16

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天津工业大学学报
2013年 第4期

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