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非线性密度制约的Holling Ⅲ型捕食者-食饵扩散模型的稳定性
  • ISSN号：1001-988X
  • 期刊名称：《西北师范大学学报：自然科学版》
  • 时间：0
  • 分类：O175.26[理学—数学;理学—基础数学]
  • 作者机构：[1]西北师范大学数学与统计学院,甘肃兰州730070
  • 相关基金：国家自然科学基金资助项目（11061031））
作者： 伏升茂[1], 屈菲[1]
关键词： 非线性密度制约, HOLLING, Ⅲ型功能反应, 捕食者-食饵模型, 稳定性, nonlinear density restriction, Holling type Ⅲ functional response, diffusive predator-prey model, stability
中文摘要：

研究一类捕食者具有线性密度制约、食饵具有非线性密度制约的带HollingⅢ型功能反应的捕食者-食饵扩散模型整体解的存在性与一致有界性,通过线性化方法和Lyapunov方法给出该模型正平衡点的局部渐近稳定条件和全局渐近稳定条件.

英文摘要：

The existence and uniform boundedness of solutions for a diffusive predator-prey model with Holling type Ⅲ functional response are considered,where predator is linear density restrict and prey is nonlinear density restrict.Conditions which guarantee the local asymptotic stability and the global asymptotic stability of the positive equilibrium point are obtained by linearization and Lyapunov function respectively.

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期刊信息
  • 《西北师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:甘肃省教育厅
  • 主办单位:西北师范大学
  • 主编：俞诗源
  • 地址：兰州市安宁东路967号
  • 邮编：730070
  • 邮箱：sdxbz@nwnu.edu.cn
  • 电话：0931-7971692
  • 国际标准刊号：ISSN：1001-988X
  • 国内统一刊号：ISSN：62-1087/N
  • 邮发代号:54-53
  • 获奖情况:
  • 第二届全国优秀科技期刊三等奖,全国优秀高校自然科学学报及教育部优秀期刊二等奖,全国高等学校自然科学学报系统优秀学报一等奖
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,美国剑桥科学文摘,美国生物科学数据库,英国动物学记录,中国中国科技核心期刊,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）
  • 被引量:7823