Catastrophe control of aphid populations model.

Animals Aphids
aphid populations catastrophe control catastrophe theory delay effect the qualitative theory of impulsive differential equations

Journal

Mathematical biosciences and engineering : MBE
ISSN: 1551-0018
Titre abrégé: Math Biosci Eng
Pays: United States
ID NLM: 101197794

Informations de publication

Date de publication:
13 05 2022
Historique:
entrez: 22 6 2022
pubmed: 23 6 2022
medline: 24 6 2022
Statut: ppublish

Résumé

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.

Identifiants

DOI: 10.3934/mbe.2022336 PMID: 35730299
pubmed: 35730299
doi: 10.3934/mbe.2022336
doi:

Types de publication

Journal Article Research Support, Non-U.S. Gov't

Langues

eng

Sous-ensembles de citation

IM

Pagination

7122-7137

Auteurs

Lichun Zhao (L)

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

Jingna Liu (J)

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

Bing Liu (B)

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

Yuan Li (Y)

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

Huiyan Zhao (H)

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

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Classifications MeSH

questionsmedicales.fr › Eucaryotes › Animaux › Catastrophe control of aphid populations model.
questionsmedicales.fr › Eucaryotes › Animaux › Invertébrés › Arthropodes › Insectes › Hemiptera › Aphides › Catastrophe control of aphid populations model.