| 一类具有时滞的病菌-免疫力模型的Hopf分歧 |
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| 引用本文： | 项晶菁,权豫西. 一类具有时滞的病菌-免疫力模型的Hopf分歧[J]. 应用数学, 2012, 25(1): 140-149 |
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| 作者姓名： | 项晶菁 权豫西 |
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| 作者单位： | 西安建筑科技大学理学院数学系,陕西西安,710055 |
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| 摘 要： | 考虑病菌的一种信息交流机制,建立一类病菌与免疫系统竞争的时滞传染病模型.分析正平衡点的存在性、渐近稳定性、Hopf分歧的存在性及方向.运用计算机数值模拟验证所得理论结果,为传染病的控制和预防提供了理论基础和数值依据.
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| 关 键 词： | Hopf分歧 时滞 传染病模型 免疫系统 |
The Hopf Bifurcation of a Bacteria-immunity Model with Time Delay |
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| XIANG Jingjing , QUAN Yuxi. The Hopf Bifurcation of a Bacteria-immunity Model with Time Delay[J]. Mathematica Applicata, 2012, 25(1): 140-149 |
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| Authors: | XIANG Jingjing QUAN Yuxi |
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| Affiliation: | (School of Science,Xi’an University of Architecture and Technology,Xi’an 710055,China) |
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| Abstract: | In view of an exchanging information mechanism of bacteria,a delayed epidemic model with the competition between bacteria and the immune system is formulated.In the sequel,the existence and stability of the positive equilibrium are investigated,respectively.Then,the existence and direction of Hopf bifurcation are discussed.At last,numerical simulations are curried out to verify the theory results,and which provide theory and numerical basis to control and prevent the epidemic disease. |
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| Keywords: | Hopf bifurcation Time delay Epidemic model Immune system |
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