APPLICATION OF A SYSTEM OF DIFFERENTIAL EQUATIONS WITH A DVERGENT ARGUMENT IN MODELING A PROCESS OF SCIENTIFIC STAFF REPRODUCTION 

Atryakhin Vladimir Andreevich, Postgraduate student, Mordovian State University named after N. P. Ogaryov (Republic of Mordovia, Saransk, 68 Bolshevistskaya str.), Atrvol@rambler.ru
Shamanaev Pavel Anatol'evich, Candidate of physical and mathematical sciences, associate professor, head of the department of applied mathematics, Mordovian State University named after N. P. Ogaryov (Republic of Mordovia, Saransk, 68 Bolshevistskaya str.), Korspa@yandex.ru

51-77, 519.62 

The article suggests a mathematical model describing the process of reproduction of the scientific staff at the stage of admission to graduate school, using a system of ordinary differential equations with retarded arguments, presents a numerical algorithm to solve it. The unknown parameters of the mathematical model are calculated on the basis of the known statistical data for the preceding predictable period of time. Further, the article presents the forecasting results of the scientific staff reproduction on the basis of the constructed mathematical model. 

ordinary differential equations with retarded argument, mathematical modeling, reproduction of scientific staff.

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