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Russian Universities Reports. Mathematics, 2023, Volume 28, Issue 143, Pages 236–244
DOI: https://doi.org/10.20310/2686-9667-2023-28-143-236-244
(Mi vtamu293)
 

Scientific articles

Mathematical modeling in the problem of developing an effective method for controlling fusarium of wheat ear

E. O. Burlakovab, I. N. Malkovc

a V.A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences
b Tyumen State University
c Derzhavin Tambov State University
References:
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.
Keywords: mathematical models in ecology, parameter identification, impulse control problems.
Funding agency Grant number
Russian Science Foundation 23-11-20020
22-76-10027
22-76-10027
20-11-20131
The work is conducted in the framework of the academic leadership program Priority 2030. The results of sections 1 and 2 were obtained by the second author at Derzhavin Tambov State University with the support of the Russian Science Foundation (project no. 23-11-20020, https://rscf.ru/en/project/23-11-20020/) based on the data of the field experiment conducted under the supervision of A.A. Goncharov at A.N. Severtsov Institute of Ecology and Evolution of the Russian Academy of Sciences with the support of the Russian Science Foundation (project no. 22-76-10027, https://rscf.ru/project/22-76-10027/) using the structure of the mathematical model suggested by G.A. Bocharov (Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences) and A.A. Goncharov with the support of the Russian Science Foundation (project no. 22-76-10027, https://rscf.ru/project/22-76-10027/). The results of section 3 were obtained by the first author at V. A. Trapeznikov Institute of Control Problems RAS with the support of the Russian Science Foundation (project no. 20-11-20131, https://rscf.ru/en/project/20-11- 20131/).
Received: 05.06.2023
Accepted: 12.09.2023
Document Type: Article
UDC: 51-76, 519.62
MSC: 37N25, 34H05
Language: Russian
Citation: E. O. Burlakov, I. N. Malkov, “Mathematical modeling in the problem of developing an effective method for controlling fusarium of wheat ear”, Russian Universities Reports. Mathematics, 28:143 (2023), 236–244
Citation in format AMSBIB
\Bibitem{BurMal23}
\by E.~O.~Burlakov, I.~N.~Malkov
\paper Mathematical modeling in the problem of developing an effective method for controlling fusarium of wheat ear
\jour Russian Universities Reports. Mathematics
\yr 2023
\vol 28
\issue 143
\pages 236--244
\mathnet{http://mi.mathnet.ru/vtamu293}
\crossref{https://doi.org/10.20310/2686-9667-2023-28-143-236-244}
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