STABILITY OF MATHEMATICAL MODELS OF THE “PREY-PREDATOR” TYPE

Mamedova Tatyana Fanadovna, Candidate of physical and mathematical science, professor, sub-department of applied mathematics, Mordovia State University named after N. P. Ogarev (Saransk), mamedovatf@yandex.ru
Desyaev Evgeny Vasilyevich, assistant, sub-department of applied mathematics, Mordovian State University
after N. P. Ogarev (Saransk), desyaev@rambler.ru
Lyapina Anna Alexandrovna, Postgraduate student, Mordovian State University after N. P. Ogarev (Saransk), lyapina@e-mordovia.ru

517.9

The article considers mathematical models of “predator-prey” type and introduces the examples of examination of nonlinear dynamic models for variables stability.

system of ordinary differential equations, asymptotic stability of vari-ables, «predator-prey» model type.