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一类比例依赖型捕食者-食饵扩散模型解的全局渐近性
  • 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：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]西北师范大学数学与信息科学学院,甘肃兰州730070
  • 相关基金：国家自然科学基金资助项目（11061031）; 甘肃省高校基本科研业务费资助项目
作者： 伏升茂[1], 司鹏举[1], 张丽娜[1]
关键词： 捕食者-食饵模型, 比例依赖, 渐近性, predator-prey model, ratio-dependent, asymptotic behavior
中文摘要：

讨论一类带有齐次Neumann边界条件的比例依赖型捕食者-食饵扩散模型解的全局渐近性.运用迭代和比较原理,得到了该模型唯一的正常数平衡解全局渐近稳定的充分条件.

英文摘要：

The global asymptotic behavior of solutions is considered for a diffusive ratio-dependent predator-prey model with homogeneous Neumann boundary condition.A sufficient condition for the global asymptotical stability of a unique positive constant steady-state solution is given for the model by iterative technique and comparison principle.

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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