时间周期环境下具有自由边界的非局部扩散逻辑模型的扩散速度

IF 1 4区数学 Q3 MATHEMATICS, APPLIED Journal of Applied Analysis and Computation Pub Date : 2023-01-01 DOI:10.11948/20220543

Tong Wang, Binxiang Dai

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引用次数: 0

摘要

在Zhang, Liu和Zhou[11]中，引入并研究了时间周期环境下具有双自由边界的非局部扩散模型。提出了一种扩展-消失二分法来控制长时间动力学行为。然而，当传播发生时，传播速度在b[11]中是开放的。在本文中，我们回答了这个问题。通过求解相关的时间周期半波问题，构造新的上下解，得到了传播速度。

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SPREADING SPEED OF A NONLOCAL DIFFUSIVE LOGISTIC MODEL WITH FREE BOUNDARIES IN TIME PERIODIC ENVIRONMENT

In Zhang, Liu and Zhou [11], a nonlocal diffusion model with double free boundaries in time periodic environment was introduced and studied. A spreading-vanishing dichotomy is shown to govern the long time dynamical behavior. However, when spreading happens, the spreading speed was left open in [11]. In this paper, we answer this question. We obtain the spreading speed by solving the associated time periodic semi-wave problems and constructing new upper and lower solutions.

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来源期刊

Journal of Applied Analysis and Computation MATHEMATICS, APPLIED-

CiteScore

2.30

自引率

9.10%

发文量

期刊介绍： The Journal of Applied Analysis and Computation (JAAC) is aimed to publish original research papers and survey articles on the theory, scientific computation and application of nonlinear analysis, differential equations and dynamical systems including interdisciplinary research topics on dynamics of mathematical models arising from major areas of science and engineering. The journal is published quarterly in February, April, June, August, October and December by Shanghai Normal University and Wilmington Scientific Publisher, and issued by Shanghai Normal University.