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非线性时滞差分方程周期解的存在性
  • ISSN号：1009-1327
  • 期刊名称：应用泛函分析学报
  • 时间：0
  • 页码：1029-1052
  • 语言：中文
  • 分类：O[理学]
  • 作者机构：[1]黑龙江八一农垦大学理学院,大庆163319, [2]哈尔滨工业大学(威海)理学院,威海264209
  • 相关基金：国家自然科学基金重点项目（11031002）和黑龙江省教育厅科学技术基金（12541593）资助项目.
  • 相关项目：时滞微分与差分系统的周期性以及同宿异宿轨问题
作者： 王其如|邢秋萍|郭志明|
关键词： 传染病模型, 非线性接触率, 稳定性, 超越方程, HOPF分支
中文摘要：

分析HBV传染病模型的稳定性和持久性,其中易感染者的增长方式是Logistic型以及已感染者对易感染者的作用是非线性的.这样,使得模型更具有生物学意义.针对该HBV传染病模型所对应的二阶超越特征方程根的分布进行分析,进而得到平凡平衡点的不稳定性.特别地,应用Beretta和Kuang的方法,给出在正平衡点处该模型Hopf分支的存在性条件.然后,基于Hassard的中心流形定理和规范型方法,推导出几个确定Hopf分支性质的计算公式.

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时滞微分方程与离散系统的定性理论及其相关问题
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时滞微分与差分系统的周期性以及同宿异宿轨问题
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期刊信息
  • 《应用泛函分析学报》
  • 主管单位:中国核工业集团公司
  • 主办单位:中国原子能科学研究院 中国科学院数学与系统科学研究院
  • 主编：阳名珠
  • 地址：北京市海淀区中关村东路55号思源楼c506
  • 邮编：100190
  • 邮箱：journal@amss.ac.cn
  • 电话：010-82541407
  • 国际标准刊号：ISSN：1009-1327
  • 国内统一刊号：ISSN：11-4016/TL
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘
  • 被引量:880