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一类具有Logistic增长和HollingⅡ类功能反应的免疫模型
  • ISSN号：0583-1431
  • 期刊名称：数学学报
  • 时间：0
  • 页码：301-312
  • 分类：O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]天津工业大学理学院,天津300161, [2]军事交通学院基础部,天津300161, [3]赣商师范学院数学与计算科学系,赣州341000
  • 相关基金：国家自然科学基金资助项目（10971037）
  • 相关项目：鄱阳湖湿地候鸟保护的数学模型研究及应用
作者： 裴永珍|王慧娜|李长国|高淑京|Yong Zhen PEI Hui Na WANG Shool of Science,Tianjin|
关键词： 时滞, 免疫模型, HollingⅡ类功能反应, Time delay, Immune model, Holling type-Ⅱ functional response
中文摘要：

研究了一类具有Logistic增长和HollingⅡ类功能反应的免疫模型.以时滞为分支参数,分析了系统正平衡点的稳定性和Hopf分支的存在性;然后利用中心流形定理和规范型方法,给出了分支周期解的分支方向与稳定性的计算公式,利用数值模拟验证了所得结论.

英文摘要：

A basic model of immune with Logistic growth and Holling type-Ⅱfunctional response has been studied.By choosing the time delay as the parameter,the stability of the positive equilibrium and the existence of the Hopf bifurcation are investigated. By using the normal form theory and the center argument,the explicit formulae which determine the stability and the direction are derived.Finally,numerical simulations supporting our theoretical results are also included.

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鄱阳湖湿地候鸟保护的数学模型研究及应用
期刊论文 28 会议论文 13
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期刊信息
  • 《数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院数学研究院
  • 主编：李炳仁
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100080
  • 邮箱：Actamath@amss.ac.cn
  • 电话：010-62551910
  • 国际标准刊号：ISSN：0583-1431
  • 国内统一刊号：ISSN：11-2038/O1
  • 邮发代号:2-502
  • 获奖情况:
  • 1996年中科院优秀科技期刊二等奖,1997年全国优秀科技期刊二等奖,2000年中科院优秀科技期刊二等奖
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:9981