Catastrophe control of aphid populations model

Autor: Lichun Zhao, Jingna Liu, Bing Liu, Yuan Li, Huiyan Zhao
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematical Biosciences and Engineering, Vol 19, Iss 7, Pp 7122-7137 (2022)
Druh dokumentu: article
ISSN: 1551-0018
DOI: 10.3934/mbe.2022336?viewType=HTML
Popis: Considering the effect of the natural enemy on aphid populations, the corresponding model with delay is built. The model is analyzed using the qualitative theory of differential equations and catastrophe theory etc. For the outbreak phenomenon of aphid populations, the corresponding management model is proposed and the catastrophe controller is designed to keep the system in a virtuous cycle by means of the qualitative theory of impulsive differential equations. In the mean time, some simulations are carried to prove the results. The paper not only provides a new method for catastrophe control but also expands the application fields of catastrophe control.
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