Catastrophe control of aphid populations model-Reference-Cited by-同舟云学术

Catastrophe control of aphid populations model

Published:2022 Issue:7 Volume:19 Page:7122-7137
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Zhao Lichun¹,Liu Jingna¹,Liu Bing¹,Li Yuan²,Zhao Huiyan³

Affiliation:

1. School of Mathematics and Information Science, Anshan Normal University, Ashan 114007, China

2. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China

3. State Key Laboratory of Crop Stress Biology in Arid Areas, School of Plant Protection, Northwest A and F University, Yangling 712100, China

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

Reference40 articles.

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