Nonlinear Dynamics

, Volume 64, Issue 1–2, pp 1–12 | Cite as

The dynamics of a high-dimensional delayed pest management model with impulsive pesticide input and harvesting prey at different fixed moments

  • Tongqian Zhang
  • Xinzhu Meng
  • Yi Song
Original Paper


In this paper, a delayed pest control model with stage-structure for pests by introducing a constant periodic pesticide input and harvesting prey (Crops) at two different fixed moments is proposed and analyzed. We assume only the pests are affected by pesticide. We prove that the conditions for global asymptotically attractive ‘predator-extinction’ periodic solution and permanence of the population of the model depend on time delay, pulse pesticide input, and pulse harvesting prey. By numerical analysis, we also show that constant maturation time delay, pulse pesticide input, and pulse harvesting prey can bring obvious effects on the dynamics of system, which also corroborates our theoretical results. We believe that the results will provide reliable tactic basis for the practical pest management. One of the features of present paper is to investigate the high-dimensional delayed system with impulsive effects at different fixed impulsive moments.


Permanence High-dimensional delayed system with impulse Stage-structure Maturation time delay Pest management 


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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.College of Information Science and EngineeringShandong University of Science and TechnologyQingdaoPR China
  2. 2.College of ScienceShandong University of Science and TechnologyQingdaoPR China
  3. 3.Department of Mathematics and Mathematical StatisticsUmeå UniversityUmeåSweden

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