Математическая модель "потребитель-ресурс" на линейном ареале и еe применение к моделированию распространения фитофтороза картофеля

Natalya A. Gasratova

doi:10.21638/11701/spbu10.2022.409

Authors

Natalya A. Gasratova St Petersburg State University, 7-9, Universitetskaya nab., St Petersburg, 199034, Russian Federation https://orcid.org/0000-0003-4817-327X

DOI:

https://doi.org/10.21638/11701/spbu10.2022.409

Abstract

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

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References

Литература

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