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

Izv. Vyssh. Uchebn. Zaved. Mat., 2022 Number 1, Pages 65–73 (Mi ivm9744)

The influence of external environment resistance coefficient on population dynamics

S. A. Kaschenkoa, D. O. Loginovb

a Regional Scientific and Educational Mathematical Center of P.G. Demidov Yaroslavl State University, 14 Sovetskaya str., Yaroslavl', 150003 Russia
b P.G. Demidov Yaroslavl State University, 14 Sovetskaya str., Yaroslavl', 150003 Russia

Abstract: The article presents a certain delay logistic equation with diffusion and spatially-heterogeneous coefficients that describe external environment resistance of population. It is expected that the near-extreme situation is realized when external environment resistance coefficient increases without limit when approaching to one of the sides of distribution area.
The matter of population change dynamics is investigated by computer analysis. Based on the obtained results the conclusion of delay logistic equation with diffusion use efficiency for qualitative description of heterogeneous environment population change dynamics is confirmed.

Keywords: parabolic equation, bifurcation, delay differential equation, computer analysis.

UDC: 517.955

Received: 22.03.2021
Revised: 22.03.2021
Accepted: 29.06.2021

DOI: 10.26907/0021-3446-2022-1-65-73


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, 66:1, 53–61


© Steklov Math. Inst. of RAS, 2024