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连续收获捕食者与脉冲存放食饵的阶段结构捕食-食饵模型的全局吸引和一致持久
  • ISSN号：1000-0887
  • 期刊名称：《应用数学和力学》
  • 时间：0
  • 分类：O175.1[理学—数学;理学—基础数学]
  • 作者机构：[1]贵州财经学院数学与统计学院,贵阳550004, [2]大连理工大学应用数学系,辽宁大连116024, [3]圣地亚哥-德孔波斯特拉大学数学学院数学分析系,15782圣地亚哥-德孔波斯特拉,西班牙, [4]圣地亚哥-德孔波斯特拉大学医学院精神、放射和公众健康系15782圣地亚哥-德孔波斯特拉,西班牙, [5]不详
  • 相关基金：国家自然科学基金资助项目（10771179）;贵州省重点学科基金资助项目
作者： 焦建军[1,2], 陈兰荪[2], J·J·尼托, T·A·安吉拉, 郭兴明（推荐）
关键词： 阶段结构, 脉冲存放, 连续收获, 全局吸引, 持久, stage-structured, impulsive stocking, continuous harvesting, global attractivity, permanence
中文摘要：

研究了一个捕食者具连续收获与食饵具脉冲存放的阶段结构时滞捕食-食饵模型．根据生物资源管理的实际，改进了捕食者具阶段结构的捕食-食饵模型，即原来假设每个捕食者个体都具有相同的捕食食饵的能力．假设捕食者按年龄分为两个阶段，即幼体和成体，而且幼体无能力捕食食饵．得到了捕食者灭绝周期解全局吸引和系统持久的充分条件．结论说明了脉冲存放食饵对系统的持久起了重要的作用，并且为生物资源管理提供了策略基础．数值分析也进一步说明了系统的动力学性质．

英文摘要：

A stage-structured delayed predator-prey model with impulsive stocking on prey and continuous harvesting on predator is investigated. According to the fact of biological resource managemerit, the assumption of a predator-prey model with stage structure for predator population that each individual predator has the same ability to capture prey was improved. It was assumed that the immature individuals and the mature individuals of the predator population were divided by a fixed age and that immature predator population does not have the ability to attack prey. Sufficient conditions, which guarantee the global attractivity of predator-extinction periodic solution and the permanence of the system, were obtained. The results show that the behavior of impulsive stocking on prey plays an important rote for the permanence of the system, and provides tactical basis for the biological resource management. Furthermore, numerical analysis is inserted to illuminate the dynamics of the system.

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期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编：钟万勰
  • 地址：重庆南岸区重庆交通大学90信箱
  • 邮编：400074
  • 邮箱：applmathmech@cqjtu.edu.cn
  • 电话：023-62652450
  • 国际标准刊号：ISSN：1000-0887
  • 国内统一刊号：ISSN：50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引（EI）收录期刊,我国力学类核心期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,日本日本科学技术振兴机构数据库,美国应用力学评论,中国中国科技核心期刊,中国北大核心期刊（2004版）,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）,中国北大核心期刊（2000版）
  • 被引量:8965