Email this article Finite-Dimensional Mappings Describing the Dynamics of a Logistic Equation with Delay
- Authors: Glyzin S.D.1, Kashchenko S.A.1,2
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Affiliations:
- Demidov Yaroslavl State University
- National Research Nuclear University “MEPhI,”
- Issue: Vol 100, No 1 (2019)
- Pages: 380-384
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/225701
- DOI: https://doi.org/10.1134/S1064562419040185
- ID: 225701
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Abstract
A family of mappings used in the numerical simulation of a delay logistic equation is considered. This equation finds wide applications in problems of mathematical ecology. The properties of solutions of these mappings and the original delay equation are compared. It is shown that the behavior of solutions of difference equations can be rather complex, while the delay logistic equation has only a stable equilibrium state or cycle. The constructed mappings can be used as models of population dynamics, so their study is of interest.
About the authors
S. D. Glyzin
Demidov Yaroslavl State University
Author for correspondence.
Email: glyzin.s@gmail.com
Russian Federation, Yaroslavl, 150000
S. A. Kashchenko
Demidov Yaroslavl State University; National Research Nuclear University “MEPhI,”
Author for correspondence.
Email: kasch@uniyar.ac.ru
Russian Federation, Yaroslavl, 150000; Moscow, 115409
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