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具有抗性发展和轮换使用杀虫剂的综合害虫治理模型的动力学性质 被引量:5

Dynamics on Integrated Pest Control Model with Resistant Development and Using Pesticides in Rotation
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摘要 将害虫对杀虫剂的抗性发展及周期性轮换使用杀虫剂引入具有不同时刻脉冲作用的综合害虫治理模型,利用脉冲微分方程的基本理论和分析方法给出害虫根除周期解存在及全局吸引的充分条件. An integrated pest control model with impulsive effects at different fixed time was proposed by introdu -cing resistant development and periodic using pesticides in rotation .The sufficient conditions of the existence and glob-al attractiveness of pest-eradication periodic solution were given by using the basic theory and analysis methods of im -pulsive differential equation .
出处 《信阳师范学院学报(自然科学版)》 CAS 北大核心 2015年第1期1-3,共3页 Journal of Xinyang Normal University(Natural Science Edition)
基金 国家自然科学基金项目(11371130)
关键词 抗性发展 脉冲微分方程 替换杀虫剂 全局吸引 经济阈值 resistant development impulsive differential equation pesticides in rotation global attractiveness economic threshold
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参考文献7

  • 1Liu B,Zhang Y Z,Chen L S.Dynamic complexities of a Holling I predator-prey model concerning periodic biological and chemical control[J].Chaos,Solitons and Fractals,2004,22(1):123-134.
  • 2Tang S Y,Xiao Y N,Chen L S.Integrated pest management models and their dynamical behavior[J].Bulletin of Mathematical Biology,2005,67(1):115-135.
  • 3Tang S Y,Chen L S.Modelling and analysis of integrated pest management strategy[J].Discrete and Continuous Dynamical Systems-Series B,2004,4(3):759-768.
  • 4Zhang F F,Tang S Y.Dynamical behaviour of periodic impulsive chemical control model with periodically switching pesticides[C]//Proceedings of the 5th International Congress on Mathematical Biology(ICMB2011).Nanjing:Nanjing University of Science and Technology,2011(2):497-502.
  • 5Liu B,Chen L S,Zhang Y Z.The dynamics of a prey-dependent consumption model concerning impulsive control strategy[J].Applied Mathematics and Computation,2005,169(1):305-320.
  • 6Zhang H,Xu W J,Chen L S.A impulsive infective transmission SI model for pest control[J].Mathematical Methods in the Applied Sciences,2007,30(10):1169-1184.
  • 7Yang J L,Tang S Y.Effects of population dispersal and impulsive control tactics on pest management[J].Nonlinear Analysis:Hybrid Systems,2009,3(4):487-500.

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