期刊
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
卷 -, 期 72, 页码 1-24出版社
UNIV SZEGED, BOLYAI INSTITUTE
DOI: 10.14232/ejqtde.2021.1.72
关键词
reaction-diffusive; advection; delay; Hopf bifurcation; spatial heterogeneity
资金
- National Natural Science Foundation of China [61873154, A011403]
- Shanxi Natural Science Foundation [201901D111009]
This paper investigates 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, as well as the stability with the changes of the time delay. The stability and bifurcation direction of Hopf bifurcating periodic orbits are derived using normal form theory and center manifold reduction.
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.
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