Geodesic
Mathematical model ``consumer --- resource’’ on a liner range and its application for modeling the spread of late blight of potato
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 18 (2022) no. 4, pp. 548-554

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A model of consumer distribution on a fixed resource, which is uniformly distributed through a linear area, is presented. The model is based on the Cauchy problem for a system of partial differential equations. The stability of the system is studied. The physical basis of the model is the spread of late blight over the territory of a trophic resource. A qualitative picture of the process under consideration coincides with field data obtained as a result of modeling. The model describes "consumer’’ development not even at the moment, but through linear range. Thus assesment of damaged field square is possible.
Keywords: mathematical model of late blight development, late blight, mathematical model of phytopathology, linear range. 
@article{VSPUI_2022_18_4_a8,
     author = {N. A. Gasratova},
     title = {Mathematical model ``consumer --- resource{\textquoteright}{\textquoteright} on a liner range and its application for modeling the spread of late blight of potato},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {548--554},
     publisher = {mathdoc},
     volume = {18},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2022_18_4_a8/}
}
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N. A. Gasratova. Mathematical model ``consumer --- resource’’ on a liner range and its application for modeling the spread of late blight of potato. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 18 (2022) no. 4, pp. 548-554. http://geodesic.mathdoc.fr/item/VSPUI_2022_18_4_a8/