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一类含扩散项时滞肿瘤模型的分支理论分析
  • ISSN号：1001-9626
  • 期刊名称：生物数学学报
  • 时间：2015
  • 页码：569-575
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：华东师范大学数学系上海市核心数学与实践重点实验室
  • 相关基金：国家自然科学基金(No.11401217;11171110);上海市重点学科(No.B407);上海市科学技术委员会资助项目(13dz2260400)
  • 相关项目：时滞发展系统的分支与控制问题及其应用
作者： 毕平|肖和英|
关键词： 肿瘤, 时滞, 稳定性, 分支, 扩散
中文摘要：

本文利用偏泛函微分方程的相关理论分析了一类含扩散项时滞肿瘤模型的分支理论,研究了该模型平衡点的线性稳定性、余维一分支和余维分支,包括Hopf分支、B-T分支、超临界分支和稳态分支.结论表明这类模型的扩散项对相应的分支结论不会产生影响.即在具体模型中不需要考虑机体内细胞的扩散.

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期刊信息
  • 《生物数学学报》
  • 北大核心期刊（2008版）
  • 主管单位:中国数学会
  • 主办单位:中国数学会生物数学学会
  • 主编：陈兰荪
  • 地址：辽宁省鞍山师范学院158号
  • 邮编：114007
  • 邮箱：smbjbm@tom.com
  • 电话：0412-2960893
  • 国际标准刊号：ISSN：1001-9626
  • 国内统一刊号：ISSN：34-1071/O1
  • 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,日本日本科学技术振兴机构数据库,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）
  • 被引量:5686