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具有分布时滞和食饵染病的捕食系统分支分析
  • ISSN号：1004-8332
  • 期刊名称：赣南师范学院学报
  • 时间：0
  • 页码：-
  • 分类：O175.12[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300160
  • 相关基金：国家自然科学基金资助项目（10971037）;江西省教育厅科技项目（GJJGJJ0931）
  • 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： 姬雪晖|裴永珍|
关键词： 分布时滞, HOPF分支, 捕食系统, distribution delay, Hopf bifurcation , prey-predator system
中文摘要：

讨论具有分布时滞和食饵染病捕食模型.以平均时滞作为分支参数,分析正平衡点的稳定性.证明了当时滞穿过某临界值时,出现Hopf分支.

英文摘要：

A mathematical model dealing with a prey - predator system with disease and distribution delay in the prey is considered. Mathematical analysis of the model regarding stability of the positive point has been performed by using average time delay as bifurcation parameter. We show that Hopf bifurcation can occur as the delay time passes some critical value.

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鄱阳湖湿地候鸟保护的数学模型研究及应用
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期刊信息
  • 《赣南师范大学学报》
  • 主管单位:赣南师范大学
  • 主办单位:赣南师范大学
  • 主编：孙宏安
  • 地址：江西赣州经济技术开发区赣南师院黄金校区
  • 邮编：341000
  • 邮箱：gnsyxb@vip.126.com
  • 电话：0797-8393677
  • 国际标准刊号：ISSN：1004-8332
  • 国内统一刊号：ISSN：36-1346/C
  • 邮发代号:
  • 获奖情况:
  • 首届全国优秀社科学报
  • 国内外数据库收录:
  • 被引量:3