Email this article Mathematical modeling in the problem of developing an effective method for controlling fusarium of wheat ear
- Authors: Burlakov E.O.1,2, Malkov I.N.1,3
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Affiliations:
- Tyumen State University
- V.A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences
- Derzhavin Tambov State University
- Issue: Vol 28, No 143 (2023)
- Pages: 236-244
- Section: Original articles
- URL: https://journal-vniispk.ru/2686-9667/article/view/296375
- DOI: https://doi.org/10.20310/2686-9667-2023-28-143-236-244
- ID: 296375
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Abstract
In this paper we constructed a mathematical model based on a continuous dynamic system, which is formalizing the interaction of fusarium fungi, wheat plants and soil microorganisms (mycophages and saprophages). The paper presents a statistical analysis of the available experimental data obtained under laboratory conditions, on the basis of which we solved the problem of restoring biologically interpreted parameters of the constructed model of the considered ecological system. The paper also considers the problem of impulse control within the constructed mathematical framework, which corresponds to a correction on the food webs in the system in order to stimulate the growth of the populations of natural antagonists of the fusarium fungus causing wheat pathology by applying special mixtures of organic fertilizers to the soil. We obtained conditions that guarantee controllability within the framework of the constructed mathematical model, as well as providing continuous dependence of solutions of the modeling equations on control.
About the authors
Evgenii O. Burlakov
Tyumen State University; V.A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences
Author for correspondence.
Email: eb_@bk.ru
ORCID iD: 0000-0002-7286-9456
PhD, Researcher at the Insitute X-BIO
Russian Federation, 6 Volodarskogo St., Tyumen 625003, Russian Federation; 65 Profsoyuznaya St., Moscow 117997, Russian FederationIvan N. Malkov
Tyumen State University; Derzhavin Tambov State University
Email: i.n.malkov@yandex.ru
ORCID iD: 0000-0001-5845-5591
Post-Graduate Student, Institute of Mathematics and Computer Science
6 Volodarskogo St., Tyumen 625003, Russian Federation; 33 International St., Tambov 392036, Russian FederationReferences
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