Abstract
This work is a report written at the suggestion of the talented Soviet scientist V.V. Zeleneva in 1986-1987, when the author was a 4th year student at the Faculty of Soil Science, Moscow State University. M.V. Lomonosov.
 The report analyzes the equation proposed at the dawn of soil science by P.A. Kostychev for the maximum level of humus accumulation (and later modified by D.S. Orlov). It is shown that from the point of view of mathematics, the Kostychev equation is meaningless and has no solution at all. Improved by Orlov, it already has solutions, but it seems that it still cannot be effectively used. In this regard, various types of those mathematical models of humus dynamics are considered, which were used by specialists in soil science and ecology.
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