移动环境下Fisher-KPP方程受迫行波解的存在性
Existence of Forced Traveling Waves for Fisher-KPP Equation under a Shifting Habitat
DOI: 10.12677/PM.2022.123050, PDF, HTML, 下载: 358  浏览: 581  科研立项经费支持
作者: 赵林林：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；Shifting Habitat； Fisher-KPP Equation； Monotone Iterative
摘要: 考虑移动环境下Fisher-KPP方程在其内禀增长率函数非负条件下受迫行波解的存在性。 利用单调迭代结合上下解方法的技巧，证明了任意正的恒定速度移动下非减受迫行波的存在性。
Abstract: In this paper, we are concerned with the existence of forced traveling wave solutions for Fisher-KPP equation in the habitat shifting under the condition that its intrinsic growth rate function is nonnegative. Using the technique of monotone iteration combined with the upper and lower solution method, the existence of non-decreasing forced traveling waves under arbitrary positive constant shifting speed is proved.
文章引用：赵林林. 移动环境下Fisher-KPP方程受迫行波解的存在性[J]. 理论数学, 2022, 12(3): 448-457. https://doi.org/10.12677/PM.2022.123050

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