一类具扩散两种群互惠模型解的稳定性

研究一类两种群互惠模型,我们考虑具时滞和齐次Neumann边界条件的反应扩散方程组.首先利用比较原理讨论了抛物问题解的正性及有界性,然后运用上下解方法给出问题全局解的存在性和惟一性.对相应的线性化算子进行谱分析,给出了正平衡点的局部渐近稳定性.

Stabilities of the Solution to a System Describing Two Species Cooperating Model with Diffusion

This paper dealt with a system describing two species cooperating model.The author considered the reaction-diffusion equations with time delay under homogeneous Neumann boundary conditions.The existence and uniqueness of the global solution to the system are given by means of upper and lower solutions,and then the local asymptotical stabilities are given using spectral analysis of the corresponding linearized operator.