摘要
讨论了带有交叉扩散项的捕食-食饵模型在齐次Neumann边界条件下非常数正解的存在性.利用Harnack不等式给出了正解的先验估计,利用Leray-Schauder度理论得出非常数正解的存在性,从而证明了捕食与食饵在一定条件下可以共存.
A predator-prey model with diffusion and cross-diffusion under homogeneous Neu-mann boundary condition were investigated .By means of Harnack inequality , a priori esti-mate was discussed .The existence of steady-state solutions was proved by the priori upper and lower bounds and Leray-Schuder degree theory .The results obtained showed that the predator and the prey could co -exist under certain conditions .
出处
《哈尔滨商业大学学报（自然科学版）》
CAS
2014年第1期103-108,共6页
Journal of Harbin University of Commerce：Natural Sciences Edition
关键词
交叉扩散
存在性
度理论
cross-diffusion
existence
degree theory
