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In this paper, we study a delayed stage‐structured pest management model with periodic releasing infective pest, spraying pesticide and harvesting crop at three different fixed moments. By using impulsive‐type comparison… Click to show full abstract
In this paper, we study a delayed stage‐structured pest management model with periodic releasing infective pest, spraying pesticide and harvesting crop at three different fixed moments. By using impulsive‐type comparison results, small‐amplitude perturbation techniques, and the global attractivity of a one‐order time‐delay system, sufficient condition ensuring the global attractivity of the susceptible pest‐eradication periodic solution is derived. Furthermore, the permanence of the model is also derived. An example and its numerical simulations are given to verify the effectiveness of the theoretical results.
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2021
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