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Sibirskii Zhurnal Industrial'noi Matematiki, 2023, Volume 26, Number 3, Pages 14–25
DOI: https://doi.org/10.33048/SIBJIM.2023.26.302
(Mi sjim1244)
 

Modeling of competition between populations with multi-taxis

A. V. Budyanskya, V. G. Tsybulinb

a Don State University, Gagarin Square, 1, Rostov-on-Don 344002, Russia
b Southern Federal University, ul. Milchakova 8a, Rostov-on-Don 344090, Russia
References:
Abstract: We study a mathematical model of competition between two populations, which is described by a system of nonlinear differential equations of reaction-diffusion-advection. The taxis is introduced to model the heterogeneity of the total resource and the non-uniform distribution of both types. We analyze the role of taxis in the area occupancy. The maps of migration parameters corresponding to various variants of competitive exclusion and coexistence of species are calculated. Using the theory of cosymmetry, we find parametric relations under which multistability arises. In a computational experiment, population scenarios with a violation of cosymmetry were studied.
Keywords: population dynamics, competition, taxis, equations of reaction-diffusion-advection, multistability, cosymmetry.
Funding agency Grant number
Russian Science Foundation 23-21-00221
Received: 10.01.2023
Revised: 26.02.2023
Accepted: 27.04.2023
English version:
Journal of Applied and Industrial Mathematics, 2023, Volume 17, Issue 3, Pages 498–506
DOI: https://doi.org/10.1134/S1990478923030043
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. V. Budyansky, V. G. Tsybulin, “Modeling of competition between populations with multi-taxis”, Sib. Zh. Ind. Mat., 26:3 (2023), 14–25; J. Appl. Industr. Math., 17:3 (2023), 498–506
Citation in format AMSBIB
\Bibitem{BudTsy23}
\by A.~V.~Budyansky, V.~G.~Tsybulin
\paper Modeling of~competition between populations with~multi-taxis
\jour Sib. Zh. Ind. Mat.
\yr 2023
\vol 26
\issue 3
\pages 14--25
\mathnet{http://mi.mathnet.ru/sjim1244}
\crossref{https://doi.org/10.33048/SIBJIM.2023.26.302}
\transl
\jour J. Appl. Industr. Math.
\yr 2023
\vol 17
\issue 3
\pages 498--506
\crossref{https://doi.org/10.1134/S1990478923030043}
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    Сибирский журнал индустриальной математики
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