Hopf bifurcation in a reaction-diffusive-advection two-species competition model with one delay

Meng Qiong and Liu Guirong and Jin Zhen: Hopf bifurcation in a reaction-diffusive-advection two-species competition model with one delay. (2021)

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Abstract

In this paper, we investigate a reaction-diffusive-advection two-species competition model with one delay and Dirichlet boundary conditions. The existence and multiplicity of spatially non-homogeneous steady-state solutions are obtained. The stability of spatially nonhomogeneous steady-state solutions and the existence of Hopf bifurcation with the changes of the time delay are obtained by analyzing the distribution of eigenvalues of the infinitesimal generator associated with the linearized system. By the normal form theory and the center manifold reduction, the stability and bifurcation direction of Hopf bifurcating periodic orbits are derived. Finally, numerical simulations are given to illustrate the theoretical results.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2021
Number: 72
ISSN: 1417-3875
Number of Pages: 24
Language: English
DOI: 10.14232/ejqtde.2021.1.72
Uncontrolled Keywords: Differenciálható dinamikus rendszer, Bifurkáció
Additional Information: Bibliogr.: p. 21-24. ; összefoglalás angol nyelven
Date Deposited: 2021. Nov. 11. 10:58
Last Modified: 2021. Nov. 11. 10:59
URI: http://acta.bibl.u-szeged.hu/id/eprint/73724

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