| 一类血吸虫病模型Hopf分支的频域分析 |
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| 引用本文： | 冯志红,常玉.一类血吸虫病模型Hopf分支的频域分析[J].北京化工大学学报(自然科学版),2018,45(1):115-118. |
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| 作者姓名： | 冯志红 常玉 |
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| 作者单位： | 北京化工大学理学院,北京,100029;北京化工大学理学院,北京,100029 |
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| 基金项目： | 国家自然科学基金（11771033） |
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| 摘 要： | 运用频域上的分支理论研究了一类血吸虫病传播模型的Hopf分支动态，严格证明了Hopf分支的存在性，运用四阶调和平衡方法推导出由Hopf分支产生的周期轨的近似解析表达式、频率和振幅。研究结果表明，被感染的钉螺由潜伏期进入易传染期的几率δ对人体内寄生虫数量有重要影响。
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| 关 键 词： | 血吸虫 Hopf分支 调和平衡方法 |
| 收稿时间： | 2017-06-01 |
Hopf bifurcation analysis in the frequency domain for a model of schistosomiasis |
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| FENG ZhiHong,CHANG Yu.Hopf bifurcation analysis in the frequency domain for a model of schistosomiasis[J].Journal of Beijing University of Chemical Technology,2018,45(1):115-118. |
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| Authors: | FENG ZhiHong CHANG Yu |
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| Institution: | Faculty of Science, Beijing University of Chemical Technology, Beijing 100029, China |
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| Abstract: | The Hopf bifurcation in a schistosomiasis model is analyzed by using the Hopf bifurcation theory in the frequency domain. The existence of Hopf bifurcation is proved. Meanwhile, the analytic expression, frequency and amplitude of the periodic orbits are approximated by the fourth-order harmonic balance method. The results show that the exit-from-prepatency rate in snails δ has a significant effect on the number of adult parasites in human hosts. |
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| Keywords: | schistosomiasis Hopf bifurcation harmonic balance method |
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