Relaxation Oscillations in a System with Delays Modeling the Predator-Prey Problem | Zendy

S. A. Kaschenko | Zendy

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Relaxation Oscillations in a System with Delays Modeling the Predator-Prey Problem

Author(s) -

S. A. Kaschenko

Publication year - 2015

Publication title -

modeling and analysis of information systems

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.

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