Geodesic
Mathematical modeling in the problem of developing an effective method for controlling fusarium of wheat ear
Vestnik rossijskih universitetov. Matematika, Tome 28 (2023) no. 143, pp. 236-244

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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. 
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     author = {E. O. Burlakov and I. N. Malkov},
     title = {Mathematical modeling in the problem of developing an effective method for controlling fusarium of wheat ear},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {236--244},
     publisher = {mathdoc},
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     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2023_28_143_a2/}
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E. O. Burlakov; I. N. Malkov. Mathematical modeling in the problem of developing an effective method for controlling fusarium of wheat ear. Vestnik rossijskih universitetov. Matematika, Tome 28 (2023) no. 143, pp. 236-244. http://geodesic.mathdoc.fr/item/VTAMU_2023_28_143_a2/