Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2022, Volume 18, Issue 4, Pages 548–554
DOI: https://doi.org/10.21638/11701/spbu10.2022.409
(Mi vspui555)
 

Computer science

Mathematical model "consumer — resource’’ on a liner range and its application for modeling the spread of late blight of potato

N. A. Gasratova

St Petersburg State University, 7–9, Universitetskaya nab., St Petersburg, 199034, Russian Federation
References:
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.
Received: September 1, 2022
Accepted: September 1, 2022
Bibliographic databases:
Document Type: Article
UDC: 51-76
MSC: 92D99
Language: Russian
Citation: N. A. Gasratova, “Mathematical model "consumer — resource’’ on a liner range and its application for modeling the spread of late blight of potato”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 18:4 (2022), 548–554
Citation in format AMSBIB
\Bibitem{Gas22}
\by N.~A.~Gasratova
\paper Mathematical model ``consumer --- resource’’ on a liner range and its application for modeling the spread of late blight of potato
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2022
\vol 18
\issue 4
\pages 548--554
\mathnet{http://mi.mathnet.ru/vspui555}
\crossref{https://doi.org/10.21638/11701/spbu10.2022.409}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4567268}
Linking options:
  • https://www.mathnet.ru/eng/vspui555
  • https://www.mathnet.ru/eng/vspui/v18/i4/p548
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Âåñòíèê Ñàíêò-Ïåòåðáóðãñêîãî óíèâåðñèòåòà. Ñåðèÿ 10. Ïðèêëàäíàÿ ìàòåìàòèêà. Èíôîðìàòèêà. Ïðîöåññû óïðàâëåíèÿ
    Statistics & downloads:
    Abstract page:74
    Full-text PDF :17
    References:19
    First page:3
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024