数学
常量(计算机编程)
非线性系统
稳态(化学)
Volterra方程
学位(音乐)
扩散
应用数学
李雅普诺夫函数
数学分析
分叉
物理
热力学
计算机科学
物理化学
化学
程序设计语言
量子力学
声学
作者
Changfeng Liu,Shangjiang Guo
标识
DOI:10.1016/j.jde.2021.05.014
摘要
This paper is concerned with a Lotka-Volterra model with nonlinear cross diffusion. The global existence of generalized solutions is established under some proper assumptions, and the nonexistence of nonconstant solutions is also investigated when diffusion rate is sufficiently large. At the same time, sufficient conditions ensuring the existence of non-constant solutions are obtained by using Leray-Schauder degree theory. Furthermore, steady-state bifurcation analysis is carried out in details by using Lyapunov-Schmidt reduction.
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