Abstract
In this paper, we deal with the global dynamics of a Lotka-Volterra competition-diffusion-advection system with nonlinear boundary conditions, including the existence, nonexistence and global stability of coexistence steady states. We start with the investigation of the principal eigenvalue of linearized system to get the local stability of steady states and then discuss the global dynamics in terms of competition coefficients.
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Funding
This work has been supported by the Natural Science Foundation of China (Grant No. 12071446) and the Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) (Grant No. CUGST2).
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All authors contributed to the planning, execution, and interpretation of the work reported. Chenyuan Tian wrote a first draft of the manuscript. All authors read and approved the final manuscript.
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Research supported by the NSFC (Grant No. 12071446), and the Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) (Grant No. CUGST2).
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Tian, C., Guo, S. Global dynamics of a Lotka-Volterra competition-diffusion system with advection and nonlinear boundary conditions. Z. Angew. Math. Phys. 75, 103 (2024). https://doi.org/10.1007/s00033-024-02249-0
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DOI: https://doi.org/10.1007/s00033-024-02249-0