Mathematical Modelling of Natural Phenomena

IF 2.6 4区数学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY

Mathematical Modelling of Natural Phenomena Pub Date : 2022-05-24 DOI:10.1051/mmnp/2022021

M. Adimy, Abdennasser Chekroun, B. Kazmierczak

引用次数: 0

Abstract

Abstract. We consider a class of biological models represented by a system composed of reaction-diffusion PDE coupled with difference equations (renewal equations) in $n$-dimensional space, with nonlocal dispersal terms and implicit time delays. The difference equation generally arises, by means of the method of characteristics, from an age-structured partial differential system. Using upper and lower solutions, we study the existence of monotonic planar traveling wave fronts connecting the extinction state to the uniform positive state. The corresponding minimum wave speed is also obtained. In addition, we investigate the effect of the parameters on this minimum wave speed and we give a detailed analysis of its asymptotic behavior.

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自然现象的数学模型

摘要我们考虑了一类由反应扩散PDE和差分方程（更新方程）组成的系统表示的生物模型，该系统在$n$-维空间中具有非局部扩散项和隐式时滞。差分方程通常通过特征法由年龄结构的偏微分系统产生。利用上下解，我们研究了连接消光态和均匀正态的单调平面行波阵面的存在性。还获得了相应的最小波速。此外，我们还研究了参数对该最小波速的影响，并对其渐近行为进行了详细分析。

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

Mathematical Modelling of Natural Phenomena MATHEMATICAL & COMPUTATIONAL BIOLOGY-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

5.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Mathematical Modelling of Natural Phenomena (MMNP) is an international research journal, which publishes top-level original and review papers, short communications and proceedings on mathematical modelling in biology, medicine, chemistry, physics, and other areas. The scope of the journal is devoted to mathematical modelling with sufficiently advanced model, and the works studying mainly the existence and stability of stationary points of ODE systems are not considered. The scope of the journal also includes applied mathematics and mathematical analysis in the context of its applications to the real world problems. The journal is essentially functioning on the basis of topical issues representing active areas of research. Each topical issue has its own editorial board. The authors are invited to submit papers to the announced issues or to suggest new issues. Journal publishes research articles and reviews within the whole field of mathematical modelling, and it will continue to provide information on the latest trends and developments in this ever-expanding subject.