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Dynamics of a class of nonlinear pest-natural enemy discrete model
  • Yazhi Wu,
  • Guangyao Tang,
  • Changcheng Xiang
Yazhi Wu
Hubei Minzu University

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Guangyao Tang
Hubei Minzu University
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Changcheng Xiang
Hubei Minzu University
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The inappropriate use of insecticides may lead to disastrous pest outbreaks. Aiming at avoiding the outbreak of pests by optimizing the control strategies, we propose a novel mathematical model base on the idea of pulse in this study, namely a discrete-time model of pest-natural enemies, which considers the implementation of spraying insecticides within the time interval between two generations of pests. We first investigates the existence and stability of fixed points, and then using the central manifold theory, we proved that the system can exist period-doubling bifurcation. The main theoretical results are verified by numerical simulations. The experiments show that if the insecticidal time is within a certain range, the lower insecticidal rate stimulates the growth of pests and natural enemies, while the larger insecticidal rate can inhibit the growth of pests and natural enemies. In addition, the effects of pest growth rate, timing of pesticide spraying, and pesticide intensity on the system are comprehensively discussed. The main research provides good reference significance to choose an appropriate time to prevent the pest outbreaks.
05 Mar 2022Submitted to Mathematical Methods in the Applied Sciences
07 Mar 2022Submission Checks Completed
07 Mar 2022Assigned to Editor
13 Mar 2022Reviewer(s) Assigned
13 Sep 2022Review(s) Completed, Editorial Evaluation Pending
21 Sep 2022Editorial Decision: Revise Major
29 Sep 20221st Revision Received
29 Sep 2022Submission Checks Completed
29 Sep 2022Assigned to Editor
06 Oct 2022Reviewer(s) Assigned
08 Oct 2022Review(s) Completed, Editorial Evaluation Pending
15 Oct 2022Editorial Decision: Accept