摘要
考虑了一维空间域中基于Bazykin型功能反应的自我记忆扩散当时间延迟τ=0时候的捕食者反应扩散模型。研究该模型其经典局部解的存在性和L1边界估计,进一步讨论了整体经典解的存在性以及有界性。重点分析其解的L∞边界估计,通过半群参数的方法证明了其解L∞边界有界。
This article considers a predator-prey response diffusion model based on Bazykin type functional response in a one-dimensional spatial domain for self memory diffusion with time delay τ=0. The existence and L1 boundary estimation of the classical local solutions are studied, and the existence and boundedness of the global classical solutions are further discussed. The solution L∞ boundary estimation is analyzed and the solution L∞ boundary is proved to be bounded by semigroup parameter method.
出处
《理论数学》
2023年第6期1630-1642,共13页
Pure Mathematics
