周期竞争模型的共存解的存在性
Existence of Coexistence Solutions for a Periodic Competition Model
DOI: 10.12677/PM.2022.129160, PDF,    国家自然科学基金支持
作者: 伍日广, 钟延生*：福建师范大学，数学与统计学院，福建 福州
关键词: 共存解；周期竞争模型；奇异退化扩散；Coexistence Solutions； Periodic Competition Model； Singular-Degenerate Diffusion
摘要: 本文研究了一个具有非局部项的奇异退化抛物方程组，它可以看作是Lotka-Volterra型空间异构竞争模型。应用Leray-Schauder不动点定理，建立了该问题共存周期解的存在性，并结合现有文献，给出了该系统的所有参数的完整图像。
Abstract: We investigate a system of singular-degenerate parabolic equations with non-local terms, which can be regarded as a Lotka-Volterra type spatial heterogeneous competition model. Applying the Leray-Schauder fixed-point theorem, we establish the existence of coexistence periodic solutions to the problem. Moreover, it gives a complete picture for such a system for all parameters.
文章引用：伍日广, 钟延生. 周期竞争模型的共存解的存在性[J]. 理论数学, 2022, 12(9): 1474-1480. https://doi.org/10.12677/PM.2022.129160

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