文章摘要
引用本文:施春玲,王逸勤,陈育栎.一类反馈控制捕食-食饵系统平衡点的全局吸引[J].福州大学学报(自然科学版),2015,43(5):582~586
一类反馈控制捕食-食饵系统平衡点的全局吸引
Global attractivity of the equilibrium point in a predator-prey system with several delays
  
DOI:10.7631/issn.1000-2243.2015.05.0582
中文关键词: 捕食-食饵系统  平衡点  时滞  全局吸引
英文关键词: predator-prey system  equilibrium point  delay  global attractivity
基金项目:
作者单位
施春玲 福州大学至诚学院福建 福州 350002 
王逸勤 福建教育学院福建 福州 350002 
陈育栎 福州大学至诚学院福建 福州 350002 
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中文摘要:
      研究一类多时滞Lotka-Volterra捕食-食饵系统,通过构造多个Lyapunov函数,建立捕食-食饵系统正平衡点的全局吸引的充分性条件. 并进一步证明了当食饵种群绝灭,有其它食物来源的捕食者也能稳定在某个值.
英文摘要:
      We study a Lotka-Volterra predator-prey system with several delays. By using the method of multiple Lyapunov functionals,we obtain the sufficient conditions that the positive equilibrium point of predator-prey system is the global stability. Furthermore,under other conditions we establish that the prey is tending to zero while the predator who has other foods will stabilize at a certain solution of a logistic differential equation.
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