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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 1, Pages 65–73
DOI: https://doi.org/10.26907/0021-3446-2022-1-65-73 (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
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DOI: https://doi.org/10.26907/0021-3446-2022-1-65-73
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.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10043
Russian Science Foundation 21-71-30011
Received: 22.03.2021
Revised: 22.03.2021
Accepted: 29.06.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 1, Pages 53–61
DOI: https://doi.org/10.3103/S1066369X22010054
Document Type: Article
UDC: 517.955
Language: Russian
Citation: S. A. Kaschenko, D. O. Loginov, “The influence of external environment resistance coefficient on population dynamics”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 1, 65–73; Russian Math. (Iz. VUZ), 66:1 (2022), 53–61
Citation in format AMSBIB
\Bibitem{KasLog22}
\by S.~A.~Kaschenko, D.~O.~Loginov
\paper The influence of external environment resistance coefficient on population dynamics
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 1
\pages 65--73
\mathnet{http://mi.mathnet.ru/ivm9744}
\crossref{https://doi.org/10.26907/0021-3446-2022-1-65-73}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 1
\pages 53--61
\crossref{https://doi.org/10.3103/S1066369X22010054}
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