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一个具有寄生虫病感染和恢复的捕食模型(英文) 被引量：3

A Prey-Predator System with Parasitic Infection and Recovery
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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. 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.
作者 李长国 裴永珍 刘真真
机构地区 军事交通学院基础部 天津工业大学理学院
出处 《生物数学学报》 CSCD 北大核心 2010年第1期1-5,共5页 Journal of Biomathematics
基金 National Natural Science Foundation of(10971037)
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
分类号 O175.08 [理学—基础数学]
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二级参考文献15

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共引文献20

同被引文献27

  • 1Debasis Mukherjee.Persistence and global stability of a population in a polluted environment with delay[J]. Journal of Biological Systems,2002,10(3):225-232.
  • 2Liu B,ZhangY J,Chen L S.Dynamic complexities of a Holling I predator-preymodel concerning periodic biological and chemical control[J].Chaos,Solitons and Fractals,2004,22(1):123-134.
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  • 5Zhang Hong,XuW eijian,Chen Lansun.A impulsive infective transmission SI model for pest control[J]. Mathematical Methods in the Applied Sciences.2007,30(10):1170-1172.
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  • 7Jianjun Jiao,Wen Long,Lansun Chen.A single stage-structured population model with mature individuals in a polluted environment and pulse input of environmental toxin[J].Nonlinear Analysis:Real World Applications,2009,10:3073-3081.
  • 8httD://www.chinacdc.cn/tis{/fdcrbbg/201211/t20121113-71834.htm.
  • 9P.D. O'Neill, C.H. Wen. Modeling and inference for epidemic models featuring non-linear infection pressure [J]. Mathematical Biosciences, 2012(238): 38-48.
  • 10陆征一,周义昌.数学生物学进展[M].2006:140-145.

引证文献3

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生物数学学报
2010年 第1期

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