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一个具有寄生虫病感染和恢复的捕食模型
  • ISSN号：1001-9626
  • 期刊名称：《生物数学学报》
  • 时间：0
  • 分类：O175.08[理学—数学;理学—基础数学]
  • 作者机构：[1]军事交通学院基础部,天津300161, [2]天津工业大学理学院,天津300161
  • 相关基金：Foundation item： National Natural Science Foundation of （10971037）
作者： 李长国[1], 裴永珍[2], 刘真真[1]
关键词： 食饵-捕食者, 徽生物寄生, 稳定性, 边界平衡点, 正平衡点, Prey-predator, Micro-parasite, Stability, Boundary equilibrium, Positive equilibrium
中文摘要：

本文假设感染的食饵有恢复率和对捕食者有收获，研究了一个对部分食饵和全部捕食者具有寄生虫病感染的捕食模型．用定性理论证明了边界和正平衡点的稳定性．结论表明恢复率和收获率对正平衡点的稳定性有影响．

英文摘要：

By introducing recovery rate in the infective prey and harvest for predator, this paper analyzes a prey-predator system in which some members of the prey population and all predators are subjected to infection by a parasite. The stability of the boundary equilibria the interior equilibrium point is discussed. Our results indicate that the recovery rate and the harvest have effects on the stability of the interior equilibrium.

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期刊信息
  • 《生物数学学报》
  • 北大核心期刊（2008版）
  • 主管单位:中国数学会
  • 主办单位:中国数学会生物数学学会
  • 主编：陈兰荪
  • 地址：辽宁省鞍山师范学院158号
  • 邮编：114007
  • 邮箱：smbjbm@tom.com
  • 电话：0412-2960893
  • 国际标准刊号：ISSN：1001-9626
  • 国内统一刊号：ISSN：34-1071/O1
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）
  • 被引量:5686