RT Journal Article
ID 4d158dc209ebf6f2
A1 Puzha , Bedrik
A1 Khusainov, Denis Ya.
A1 Novotna , Veronika
A1 Shatyrko, Andrey V.
T1 Investigation of Uniform by Delay Stability of Nontrivial Equilibrium Point of One Population Model
JF Journal of Automation and Information Sciences
JO JAI(S)
YR 2018
FD 2018-12-31
VO 50
IS 9
SP 25
OP 37
K1 nonzero equilibrium state
K1 population model
K1 system of two differential equations
K1 Lyapunov direct method
AB 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.
PB Begell House
LK http://dl.begellhouse.com/journals/2b6239406278e43e,2424c01b713e8a3f,4d158dc209ebf6f2.html