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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2023 Volume 227, Pages 61–78 (Mi into1218)

On several models of population dynamics with distributed delay

T. L. Sabatulina

Perm National Research Polytechnic University

Abstract: In this paper, we examine several models of population dynamics: the Hutchinson equation, the Mackey–Glass equation, the Lasota–Warzewski equation, and the Nicholson equation. The greatest attention is paid to models in which the aftereffect is considered distributed over a certain interval. The local stability of solutions to these equations is studied.

Keywords: population dynamics, functional differential equation, distributed lag, stability

UDC: 517.929

MSC: 34K60

DOI: 10.36535/0233-6723-2023-227-61-78



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