具有无界自由边界的非局部扩散竞争模型的自由边界问题

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-04-08 DOI:10.1016/j.jmaa.2025.129567

Tong Wang , Zhenzhen Li , Binxiang Dai

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引用次数: 0

摘要

研究了一类具有无界自由边界的非局部扩散竞争模型。假设两个竞争物种最初占据各自的无界栖息地，并表现出向自由边界扩张的趋势。随着时间的推移，这两个物种的栖息地逐渐重叠，在共享的栖息地内产生竞争。对于这类具有非局部扩散的自由边界问题，我们建立了解的整体存在唯一性，并证明了扩展-消失二分法。进一步确定了渐近扩散速度。

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A free boundary problem for a nonlocal diffusion competition model with unbounded free boundaries

This paper is devoted to the study of a nonlocal diffusion competition model with unbounded free boundaries. It is assumed that two competing species initially occupy their respective unbounded habitats and exhibit a tendency to expand with a free boundary. As time progresses, the habitats of these two species gradually overlap, giving rise to competition within the shared habitat. For this free boundary problem with nonlocal diffusion, we establish the global existence and uniqueness of the solution and prove the spreading-vanishing dichotomy. Further, the asymptotic spreading speed is also determined.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.