一类移动环境下Fisher-KPP方程受迫行波的存在性及其渐近行为
The Existence and Asymptotic Behavior of Forced Traveling Waves for a Class of Fisher-KPP Equation under a Shifting Habitat
DOI: 10.12677/aam.2024.139417, PDF,   
作者: 陈碧霞：长沙理工大学数学与统计学院，湖南 长沙
关键词: 移动环境；Fisher-KPP方程；单调迭代；渐近行为；Shifting Habitat； Fisher-KPP Equation； Monotonic Iteration； Asymptotic Behavior
摘要: 考虑在移动环境下Fisher-KPP方程受迫行波的存在性及其渐近行为，并假设此方程的内禀增长率函数恒大于某正常数。利用单调迭代的技巧证明了方程的非减受迫行波和非负受迫行波的存在性，进一步研究了两种受迫波的渐近行为。
Abstract: In this paper, we consider the existence and the asymptotic behavior of the Fisher-KPP equation in the shifting habitat, and assume that the intrinsic growth rate function of this equation is always greater than a normal number. Using the technique of monotone iteration to prove the existence of non-decreasing and non-negative forced waves of the equation, we further study the asymptotic behavior of two forced waves.
文章引用：陈碧霞. 一类移动环境下Fisher-KPP方程受迫行波的存在性及其渐近行为[J]. 应用数学进展, 2024, 13(9): 4370-4380. https://doi.org/10.12677/aam.2024.139417

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