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KdV方程矩阵形式的精确解
  • ISSN号：1001-5051
  • 期刊名称：《浙江师范大学学报：自然科学版》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：[1]浙江师范大学数理与信息工程学院,浙江金华321004
  • 相关基金：国家自然科学基金资助项目（10771196）; 浙江省自然科学基金资助项目（Y7080198）
作者： 张翼[1], 颜姣姣[1], 褚俪瑾[1]
关键词： 捕食模型, 平衡点, 分支, 极限环, predator-prey system, equilibrium point, bifurcation, limit cycle
中文摘要：

研究了一类具有HollingⅡ功能反应且比率确定的捕食与被捕食模型在非线性状态反馈收获下所表现的动力学性态.在给定的生物参数与控制参数满足一定条件的情形下,讨论了该模型正平衡点的存在性与稳定性,分析了产生分支的条件,并证明了极限环的存在性与不存在性.

英文摘要：

A ratio-dependent predator-prey system with harvesting rate was studied.Under some conditions for the biological or controlling parameter,the existence and stability for the positive equilibrium points were discussed,and the bifurcation values of the equilibrium points were obtained.Conditions for the existence and nonexistence of limit cycles around the positive equilibrium points were also obtained.

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多重Hopf分支、周期映射和孤立子方程精确解研究
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期刊信息
  • 《浙江师范大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:浙江师范大学
  • 主办单位:浙江师范大学
  • 主编：王辉
  • 地址：浙江省金华市迎宾大道688号浙江师范大学
  • 邮编：321004
  • 邮箱：xbzkb@zjnu.cn
  • 电话：0579-82282067
  • 国际标准刊号：ISSN：1001-5051
  • 国内统一刊号：ISSN：33-1291/N
  • 邮发代号:
  • 获奖情况:
  • 1989年获浙江省高校自然科学学报编排质量一等奖,1996年获全国高校自然科学学报编排质量三等奖
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,德国数学文摘,中国中国科技核心期刊
  • 被引量:3210