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脉冲存放食饵连续捕获捕食者阶段结构数学模型 被引量：2

Continuous Harvesting on Predator Mathematical Model with Impulsive Stocking and Stage Structure
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摘要 根据生物资源管理的实际,改进了原有捕食者-食饵模型,研究了一个连续收获捕食者与脉冲存放食饵的阶段结构时滞捕食-食饵模型,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到了重要作用,并且为生物资源管理中的捕食-食饵系统的开发提供了策略基础. A delayed stage-structured predator-prey model with impulsive stocking on prey and continuous harvesting on predator are studied.According to the living resources management,the predator-prey model is improved,the sufficient condition that guarantee the global attractivity of predator-exterminate periodic solution and permanence of the system is obtained.The results show that the behavior of impulsive stocking on prey plays an important role for the permanence of the system.
作者 程惠东 常正波
机构地区 山东科技大学理学院
出处 《北华大学学报（自然科学版）》 CAS 2010年第5期385-390,共6页 Journal of Beihua University（Natural Science）
基金 国家自然科学基金资助项目(10872118)
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
分类号 O175.14 [理学—基础数学]
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参考文献11

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共引文献12

同被引文献12

  • 1Wang Kai.Periodic solutions to a delayed predator-prey model with Hassell-Varley type functional response[J].Nonlinear Analysis:Real World Application,2011,12(1):137-145.
  • 2Zhang Guo-dong,Shen Yi,Chen Bo-shan.Positive periodic solutions in a nonselective harvesting predator-prey model with multiple delays[J].Journal of Mathematical Analysis and Applications,2012,395(1):298-306.
  • 3Wu Run-xin,Li Lin,Permance and global attractively of discrete predator-prey system with Hassell-Varley Type functional response[J].Discrete Dynamics in Nature and Society,2009,2009:1-17.
  • 4Kar T K,Ghorai A.Dynamic behaviour of a delayed predator-prey model with harvesting[J].Applied Mathematics and Computation,2011,217(22):9085-9 104.
  • 5Chakraborty K,Jana S,Kar T K.Global dynamics and bifurcation in a stage structured prey-predator fishery model with harvesting[J].Applied Mathematics and Computation,2012,218 (18):9 271-9 290.
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  • 10刘秀湘,黄立宏.离散Hassell-Varley型功能性反应系统的正周期解[J].数学的实践与认识,2009,39(12):115-120. 被引量：4

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北华大学学报（自然科学版）
2010年 第5期

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