Open AccessStudy of the contribution of horizontal stability in the probability model of the “hostpathogen” interaction system on the basis of millet varieties susceptible to smut
Author(s) -
С. Д. Вилюнов
Publication year - 2021
Publication title -
agrarnaâ nauka
Language(s) - English
Resource type - Journals
eISSN - 2686-701X
pISSN - 0869-8155
DOI - 10.32634/0869-8155-2020-343-11-97-100
Subject(s) - smut , mathematical model , plant disease , process (computing) , resistance (ecology) , stability (learning theory) , biology , computer science , mathematics , ecology , agronomy , microbiology and biotechnology , statistics , machine learning , operating system
Digital control of breeding process, creation of mathematical models of living objects and management of plant life cycle is an urgent problem of modern times. Сreation of technologies that ensure implementation of the concept of advanced digital "smart" agriculture is impossible without basic mathematical models of "mass interactions" of natural living objects. This primarily affects the spread of certain diseases in populations. In the plant world, such a convenient model object is the well-studied "host-pathogen" system by the example of the interaction of millet and its smut disease. At present, the knowledge of the patterns of development of this disease in the millet plant is of a qualitative nature (virulence), and the quantitative characteristics (aggressiveness) are approximate. Only mathematical modeling of this process can accurately describe the development of the disease. This paper examines a probabilistic model and certain aspects of mathematical modeling using the example of identifying the laws of horizontal resistance to smut in susceptible millet genotypes.