Detail publikace

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

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

Originální název

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

Typ

článek v časopise ve Scopus, Jsc

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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

Autoři

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

Vydáno

31. 12. 2018

ISSN

1064-2315

Periodikum

Journal of automation and information sciences

Ročník

50

Číslo

9

Stát

Spojené státy americké

Strany od

25

Strany do

37

Strany počet

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"
}