Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 519, Issue 2, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2022.126823
Keywords
Reaction-diffusion-advection equation; Lyapunov-Schmidt reduction; Nonlocal delay; Hopf bifurcation
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In this paper, the dynamics of a reaction-diffusion-advection equation with nonlocal delay effect and Dirichlet boundary condition are investigated. The existence of spatially nonhomogeneous steady states and the associated Hopf bifurcation are obtained by using the Lyapunov-Schmidt reduction. The theoretical results are also applied to models with a logistic growth rate and a weak Allee growth rate.
In this paper, we investigate the dynamics of a reaction-diffusion-advection equation with nonlocal delay effect and Dirichlet boundary condition. The existence of spatially nonhomogeneous steady states and the associated Hopf bifurcation are obtained by using the Lyapunov-Schmidt reduction. We also give applications of the theoretical results to models with a logistic growth rate and a weak Allee growth rate. (c) 2022 Elsevier Inc. All rights reserved.
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