一类食饵带传染病的食物链扩散模型的非常数正平衡态

Non-constant positive steady state of a diffusive food-chain model with disease in the prey

讨论了一类食饵带有传染病的带Neumann齐次边界条件的反应扩散模型的正平衡态问题.给出了正平衡态解的先验估计及非常数正平衡态解的存在性和不存性及分歧.

The non-constant positive steady state of a reaction-diffusion system with infected prey and homogeneous Neumann boundary conditions was discussed. A prior estimate of positive state was made. The non-existence of the non-constant positive steady state, the existence and bifurcation of the non-constant posi- tive steady state were also studied.