具有季节演替的非局部分散竞争模型的繁殖

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-09-16 DOI:10.1016/j.nonrwa.2025.104502

Yaobin Tang, Zhenzhen Li, Binxiang Dai

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引用次数: 0

摘要

本文考虑了弱竞争、非局部扩散和季节演替情况下两个竞争物种的动态行为。首先利用上下解的方法和渐近不动点定理，导出了连接平凡平衡点和正周期解的行波的存在性和不存在性。然后，在紧支持初始条件下，我们得到了两个竞争种的渐近扩展性质。我们的研究结果表明，一个竞争较弱但传播速度较快的物种会导致一个竞争较强但传播速度较慢的物种灭绝。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Propagation of nonlocal dispersal competition model with seasonal succession

The paper considers the dynamical behaviors of two competing species for the case of weak competition with nonlocal dispersal and seasonal succession. We first derive the existence and non-existence of traveling waves connecting the trivial equilibrium and the positive periodic solution by using the method of upper-lower solutions and the asymptotic fixed point theorem. Then we obtain the asymptotic spreading properties of the two competing species with compactly supported initial conditions. Our results demonstrate that a competitively weaker species with a faster spreading speed can drive a competitively stronger but slower-spreading species to extinction.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.