Journal
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 149, Issue 7, Pages 3013-3019Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/proc/15443
Keywords
Advection term; steady state; monotone dynamical system; global asymptotical stability
Categories
Funding
- NSFC [11671123, 11801089, 12071446]
- Jiangxi Provincial Natural Science Foundation [20202BAB211003]
- Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) [CUGST2]
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This paper focuses on the existence, uniqueness, and global asymptotical stability of the coexistence steady state for a competitive Lotka-Volterra reaction-diffusion model with advection term in ecology. The approaches utilized include monotone dynamical systems theory, sub-super solutions method, principal spectral theory, and other nontrivial analytic skills.
This paper is mainly devoted to the existence and uniqueness, and especially the global asymptotical stability of the coexistence steady state for a competitive Lotka-Volterra reaction-diffusion model with advection term arising in ecology. Our approaches utilized here include the monotone dynamical systems theory, the sub-super solutions method, the principal spectral theory, and some other nontrivial analytic skills.
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