一类Pioneer-Climax模型的全局分歧

Global Bifurcation of a Pioneer-Climax Model

研究了一类带扩散项的Pioneer-Climax模型,运用分歧理论和度理论的知识,以扩散系数d为分歧参数,讨论了在一定条件下系统在正常数平衡态解附近的分歧现象,并给出了分歧点附近解的结构,且局部分歧可以延拓为全局分歧.

A diffusive pioneer-climax species model is investigated.Using diffusion coefficientd as bifurcation parameter,the bifurcation at positive constant steady-state solution is obtained by bifurcation theory and degree theory and the structure of solution near bifurcation point is obtained.The local bifurcation can be extended to global bifurcation.