Email this article Finite-dimensional maps describing the dynamics of a logistic equation with delay
- Authors: Glyzin S.D.1, Kashchenko S.A.1,2
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Affiliations:
- P.G. Demidov Yaroslavl State University
- National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
- Issue: Vol 487, No 6 (2019)
- Pages: 611-616
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/15950
- DOI: https://doi.org/10.31857/S0869-56524876611-616
- ID: 15950
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Abstract
This article discusses a family of maps that are used in the numerical simulation of a logistic equation with delay. This equation and presented maps are widely used in problems of mathematical ecology as models of the dynamics of populations. The paper compares the dynamic properties of the trajectories of these mappings and the original equation with delay. It is shown that the behavior of the solutions of maps can be quite complicated, while the logistic equation with delay has only a stable equilibrium state or cycle.
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About the authors
S. D. Glyzin
P.G. Demidov Yaroslavl State University
Author for correspondence.
Email: glyzin.s@gmail.com
Russian Federation, 14, Sovetskaya street, Yaroslavl, 150003
S. A. Kashchenko
P.G. Demidov Yaroslavl State University; National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Email: kasch@uniyar.ac.ru
Russian Federation, 14, Sovetskaya street, Yaroslavl, 150003; 31, Kashirskoe shosse, Moscow, 115409
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