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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2017 Number 4, Pages 35–42 (Mi ivm9226)

This article is cited in 4 papers

On local stability of a population dynamics model with three development stages

V. V. Malygina, M. V. Mulyukov

Perm National Research Polytechnic University, 29 Komsomol'skii Ave., Perm, 614990 Russia

Abstract: We consider an age-dependent model of population dynamics, and obtain a sharp effective coefficient criterion of asymptotic stability for the nontrivial equilibrium point.

Keywords: population dynamics, age structure of population, delay differential equations, stability, efficient conditions.

UDC: 517.929

Received: 12.10.2015


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, 61:4, 29–34

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© Steklov Math. Inst. of RAS, 2024