Traveling wave fronts for a diffusive spruce budworm model with spatio-temporal delay

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-05-13 DOI:10.1016/j.nonrwa.2025.104405

Xinyan Wu, Guangsheng Lai, Zhiting Xu

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引用次数: 0

Abstract

We revise a diffusive spruce budworm model with spatio-temporal (or nonlocal) delay. By choosing six distinct kernels, we find the wave speed

c^{*} = 2 \sqrt{r d}

to determine the existence of traveling wave fronts for the model, that is, the model admits a traveling wave front connecting the trivial equilibrium

u = 0

and the positive equilibrium

u = u^{*}

when

c \geq c^{*}

. The approach is to combine the techniques of upper and lower solutions with the general theorem developed by Wang et al. (2006). The obtained results help us to understand the spreading patterns and the spreading speed of spruce budworm population.

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具有时空延迟的扩散云杉budworm模型的行波前

我们修正了一个具有时空（或非局部）延迟的扩散云杉budworm模型。通过选择六个不同的核，我们找到了波速c∗=2，以确定模型存在行波前，即当c≥c∗时，模型允许存在连接平凡平衡u=0和正平衡u=u∗的行波前。该方法是将上下解技术与Wang等人（2006）提出的一般定理相结合。研究结果有助于了解云杉芽虫种群的分布规律和分布速度。

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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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.