数学
非线性系统
边值问题
稳态(化学)
分叉
反应扩散系统
边界(拓扑)
扩散
理论(学习稳定性)
数学分析
竞赛(生物学)
同种类的
应用数学
物理
计算机科学
热力学
机器学习
组合数学
物理化学
生物
量子力学
化学
生态学
标识
DOI:10.1016/j.jde.2023.01.010
摘要
In this paper, a Lotka-Volterra competition-diffusion system subject to nonlinear boundary conditions is considered with an aim to understand the nonlinear balance between two competing nonlinear mechanisms (namely, interior reaction and boundary flux). A complete picture on the global dynamics (including the existence, nonexistence, global stability, and steady-state bifurcation of semi-trivial positive steady-state solutions) has been studied in terms of inter-specific competition coefficients, the growth rate functions, and boundary reaction functions. Our results extend largely the relevant results in the existing literature on Lotka-Volterra competition-diffusion systems, even those with homogeneous boundary conditions.
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