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一类具有非线性脉冲的捕食与被捕食系统的定性分析

李畅通

李畅通. 一类具有非线性脉冲的捕食与被捕食系统的定性分析[J]. 应用数学和力学, 2020, 41(5): 568-580. doi: 10.21656/1000-0887.400226
引用本文: 李畅通. 一类具有非线性脉冲的捕食与被捕食系统的定性分析[J]. 应用数学和力学, 2020, 41(5): 568-580. doi: 10.21656/1000-0887.400226
LI Changtong. Analysis of the Predator-Prey Model With Nonlinear Impulsive Control[J]. Applied Mathematics and Mechanics, 2020, 41(5): 568-580. doi: 10.21656/1000-0887.400226
Citation: LI Changtong. Analysis of the Predator-Prey Model With Nonlinear Impulsive Control[J]. Applied Mathematics and Mechanics, 2020, 41(5): 568-580. doi: 10.21656/1000-0887.400226

一类具有非线性脉冲的捕食与被捕食系统的定性分析

doi: 10.21656/1000-0887.400226
基金项目: 国家自然科学基金(61772017)
详细信息
    作者简介:

    李畅通(1982—), 男, 博士生(E-mail: lctnihao@snnu.edu.cn).

  • 中图分类号: Q241.8|O242

Analysis of the Predator-Prey Model With Nonlinear Impulsive Control

Funds: The National Natural Science Foundation of China(61772017)
  • 摘要: 实际的害虫控制策略由于受到资源有限、种群密度的影响,具有饱和效应或非线性特征.因此,该文对一类具有非线性脉冲控制策略的捕食与被捕食模型进行了全局定性分析.利用脉冲微分方程中的Floquet 理论和比较方法,得到模型的天敌根除周期解全局渐近稳定的充分条件,通过分支理论,得到非平凡周期解存在性的条件,数值模拟验证了具有非线性脉冲的模型具有非常复杂的动态行为.
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出版历程
  • 收稿日期:  2019-07-23
  • 修回日期:  2019-08-29
  • 刊出日期:  2020-05-01

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