研究了一类带有饱和项的互惠模型在齐次Robin边界条件下平衡态正解的存在性.首先,利用最大值原理得到正解的先验估计;其次,以a为分歧参数,运用局部分歧理论,证明了系统在半平凡解(a*,ηa*,0)和(a',0,ηb)附近出现分歧现象;最后,结合全局分歧理论,将局部分支延拓到无穷.%In this paper,the existence of positive solutions for a cooperative model with saturation under homogeneous Robin boundary condition is studied.Firstly,a prior estimates of positive solutions can be established by the maximum principle;Secondly,treating a as a bifurcation parameter,the bifurcations from semi-trivial solutions (a *,ηa*,0) and (a',0,ηb) by the local bifurcation theory;Finally,the local bifurcation solutions can be extended to infinite by the global bifurcation theory.
展开▼
