Publication detail

Investigation of Uniform by Delay Stability of Nontrivial Equilibrium Point of One Population Mode

NOVOTNÁ, V. PŮŽA, B. SHATYRKO, A. KHUSAINOV, D.

Original Title

Investigation of Uniform by Delay Stability of Nontrivial Equilibrium Point of One Population Mode

Type

journal article in Scopus

Language

English

Original Abstract

Consideration was given to a mathematical model of population dynamics in the form of a system of two differential equations with a time delay argument and a quadratic right-hand side. The corresponding system without delay was preliminary studied and its phase portrait was constructed. The effect of delay on the qualitative behavior of solutions was considered. Using the Lyapunov direct method there was studied the stability of nonzero stationary equilibrium state. The results are formulated in the form of matrix algebraic inequalities.

Keywords

nonzero equilibrium state, population model, system of two differential equations, Lyapunov direct method

Authors

NOVOTNÁ, V.; PŮŽA, B.; SHATYRKO, A.; KHUSAINOV, D.

Released

31. 12. 2018

ISBN

1064-2315

Periodical

Journal of automation and information sciences

Year of study

50

Number

9

State

United States of America

Pages from

25

Pages to

37

Pages count

13

BibTex

@article{BUT152011,
  author="Veronika {Novotná} and Bedřich {Půža} and Andriy {Shatyrko} and Denys {Khusainov}",
  title="Investigation of Uniform by Delay Stability of Nontrivial Equilibrium Point of One Population Mode",
  journal="Journal of automation and information sciences",
  year="2018",
  volume="50",
  number="9",
  pages="25--37",
  doi="10.1615/JAutomatInfScien.v50.i9.20",
  issn="1064-2315"
}