【摘要】 研究一个具有非线性-非局部反应的周期反应扩散系统.利用周期半流的渐近理论来讨论渐近波速c~*和周期行波解的存在性,证明参数c~*也是周期行波解的最小波速,并清晰描述解传播的阈值性质.最后给出渐近波速和最小波速c~*的估计.更多还原

【Abstract】 A periodic reaction-diffusion system with nonlinear-nonlocal functional response is considered in this paper.We use the asymptotic theory for periodic semiflow to discuss the existence of spreading speed c* and periodic traveling wave solutions.The threshold property for the spreading spread of solutions is described clearly according to the threshold parameter c* which is exactly the minimal wave speed as well.Finally,we give an estimate of the spreading speed and minimal wave speed c*.更多还原