摘要
该文研究了一类被捕食者带有第三边值的捕食模型．首先获得了它存在正稳态解的充要条件是a>mb+d1λ1;然后研究了它的正稳态解的局部稳定性和唯一性;最后讨论了充分大的扩散参数对它的正稳态解的存在性的影响．
This paper deals with a prey-predator model with the third boundary value to the prey. First, the authors obtain that the model has positive stationary solutions if and only if a 〉mb ＋ d1λ1. Secondly, the authors prove the local stability and uniqueness of its positive stationary solution. Thirdly, the authors study the change of existence of its positive stationary solution when the coefficients of its diffusion terms approach infinity.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2007年第2期248-262,共15页
Acta Mathematica Scientia
基金
国家自然科学基金(10671064
50604008)
湖南省教育厅自然科学基金(04C214)资助
关键词
捕食模型
正稳态解的存在性
度理论
分支理论
稳定性
唯一性
Prey-predator model
Existence of positive stationary solutions
Degree theory
Bifurcation theory
Stability
Uniqueness
