| 一类具有时滞的病菌-免疫力模型的定性研究 |
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| 引用本文： | 赵君平,王晓凤. 一类具有时滞的病菌-免疫力模型的定性研究[J]. 应用数学, 2012, 25(2): 350-356 |
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| 作者姓名： | 赵君平 王晓凤 |
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| 作者单位： | 1. 西安建筑科技大学理学院,陕西西安,710055
2. 河南城建学院数理系,河南平顶山,467044 |
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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.特别的,研究了无病平衡点E0 在奇异条件(R0=1)下的稳定性.数值模拟验证了所得理论结果.
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| 关 键 词： | Hopf分歧 时滞 稳定性 传染病模型 免疫系统 |
Qualitative Study on a Bacteria-immunity Model with Time Delay |
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| ZHAO Junping , WANG Xiaofeng. Qualitative Study on a Bacteria-immunity Model with Time Delay[J]. Mathematica Applicata, 2012, 25(2): 350-356 |
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| Authors: | ZHAO Junping WANG Xiaofeng |
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| Affiliation: | 1.School of Science,Xi’an University of Architecture and Technology,Xi’an 710055,China;2.College of Mathematics and Physics,Henan University of Urban Construction,Pingdingshan 467044,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.Further,the stability of disease free equilibrium E0 is studied under the condition of R0=1.Then,the existence of Hopf bifurcation are discussed.At last,numerical simulations are curried out to verify the theory results. |
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| Keywords: | Hopf bifurcation Time delay Stability Epidemic model Immune system |
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