移动环境下三种群Lotka-Volterra竞争合作系统行波解的存在性
The Existence of Traveling Wave Solutions for Three Species Lotka-Volterra Competitive-Cooperative System under a Shifting Habitat
摘要: 考虑在移动环境下局部扩散三种群Lotka-Volterra竞争合作系统行波解的存在性，并假设此系统的内禀增长率函数恒大于某正常数。通过构造一对有序的上下解并利用单调迭代技巧和波动引理，证明了系统的非负受迫行波的存在性。
Abstract: We consider the existence of traveling wave solutions for Lotka-Volterra competitive-cooperative system with three-species under a shifting habitat, and assume that the intrinsic growth rate functions of this system are greater than the normal numbers. We prove the existence of non-negative forced traveling waves of the system by constructing a pair of upper and lower solutions and using monotonic iterative techniques and the fluctuation lemma.
文章引用：陈碧霞. 移动环境下三种群Lotka-Volterra竞争合作系统行波解的存在性[J]. 应用数学进展, 2024, 13(8): 3989-4000. https://doi.org/10.12677/aam.2024.138380

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