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JOURNALS // Russian Universities Reports. Mathematics // Archive

Tambov University Reports. Series: Natural and Technical Sciences, 2018 Volume 23, Issue 123, Pages 456–465 (Mi vtamu46)

Scientific articles

On the stability of a population dynamics model with delay

V. V. Malygina

Perm National Research Polytechnic University

Abstract: We consider a model of the dynamics of an isolated population whose individuals pass through the three stages of evolution. We use a nonlinear autonomous differential equation with concentrated and distributed delay for description of the model. Effective sufficient conditions for the asymptotic stability of the nontrivial equilibrium point are obtained.

Keywords: population dynamics, delay differential equation, stability.

UDC: 517.929

Received: 19.04.2018

DOI: 10.20310/1810-0198-2018-23-123-456-465



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© Steklov Math. Inst. of RAS, 2025