Open AccessRelaxation Oscillations in a System with Delays Modeling the Predator-Prey Problem
Author(s) -
С. А. Кащенко
Publication year - 2015
Publication title -
modelirovanie i analiz informacionnyh sistem
Language(s) - English
Resource type - Journals
eISSN - 2313-5417
pISSN - 1818-1015
DOI - 10.18255/1818-1015-2013-1-52-98
Subject(s) - relaxation (psychology) , predation , asymptotic analysis , statistical physics , predator , dynamics (music) , mathematics , biological system , control theory (sociology) , computer science , physics , mathematical analysis , ecology , biology , artificial intelligence , neuroscience , control (management) , acoustics
A new asymptotic method for investigating complex relaxation oscillations of a system with delay was offered. Applying it, we can reduce the problem of predator-prey system dynamics to problem of one-dimensional maps analysis. Some conclusions of biological nature based on the asymptotic analysis were made.