基于一类Bazykin型功能反应扩散捕食模型解的性质分析
Property Analysis of Prey-Predator Model Based on Bazykin Functional Response Diffusion
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。
Abstract: 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.
文章引用：韩炎哲, 孙福芹. 基于一类Bazykin型功能反应扩散捕食模型解的性质分析[J]. 理论数学, 2023, 13(6): 1630-1642. https://doi.org/10.12677/PM.2023.136166

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