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Modelirovanie i Analiz Informatsionnykh Sistem, 2013, Volume 20, Number 1, Pages 52–98
(Mi mais286)
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This article is cited in 6 scientific papers (total in 6 papers)
Relaxation Oscillations in a System with Delays Modeling the Predator–Prey Problem
S. A. Kashchenko P. G. Demidov Yaroslavl State University, Yaroslavl, Russia
Abstract:
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.
Keywords:
delay differential equation, large parameter, asymptotic, periodic solution.
Received: 20.10.2012
Citation:
S. A. Kashchenko, “Relaxation Oscillations in a System with Delays Modeling the Predator–Prey Problem”, Model. Anal. Inform. Sist., 20:1 (2013), 52–98
Linking options:
https://www.mathnet.ru/eng/mais286 https://www.mathnet.ru/eng/mais/v20/i1/p52
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Abstract page: | 445 | Full-text PDF : | 148 | References: | 59 |
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