摘要
研究一类具有交叉扩散互惠共存系统,在方程所描述的模型中,两个互惠物种栖息在一个有界区域内.在齐次Dirichlet边界条件下,应用谱分析和分歧理论的方法,得到了发自半平凡解的非平凡正定态解的存在性,并给出了关于分歧解的稳定性的条件.
A type of reciprocal system with cross - diffusion effect is discussed. Two reciprocal species lie in a bounded domain. Under the homogeneous Dirichlet boundary conditions, the methods of spectral analysis and bifurcation theory are used to derive the existence of the nontrivial positive static solutions, which originates from semi - trivial solutions. A stability condition for the bifurcated solution is also presented.
出处
《华南师范大学学报（自然科学版）》
CAS
2005年第3期108-113,共6页
Journal of South China Normal University(Natural Science Edition)
关键词
互惠共存系统
分歧
定态解
渐近稳定性
mutualistic system
bifurcation
steady state solution
asymptotic stability
