Propagation dynamics of a mutualistic model of mistletoes and birds with nonlocal dispersal

IF 2.3 4区数学 Q1 MATHEMATICS, APPLIED

European Journal of Applied Mathematics Pub Date : 2023-12-04 DOI:10.1017/s0956792523000311

Juan He, Guo-Bao Zhang, Ting Liu

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引用次数: 0

Abstract

This paper is devoted to the study of the propagation dynamics of a mutualistic model of mistletoes and birds with nonlocal dispersal. By applying the theory of asymptotic speeds of spread and travelling waves for monotone semiflows, we establish the existence of the asymptotic spreading speed

$c^*$

, the existence of travelling wavefronts with the wave speed

$c\ge c^*$

and the nonexistence of travelling wavefronts with

$c\lt c^*$

. It turns out that the spreading speed coincides with the minimal wave speed of travelling wavefronts. Moreover, some lower and upper bound estimates of the spreading speed

$c^*$

are provided.

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具有非局部扩散的槲寄生与鸟类共生模式的繁殖动力学

本文研究了具有非局部扩散的槲寄生与鸟类共生模式的繁殖动力学。利用单调半流的传播波和行波的渐近速度理论，证明了其渐近传播速度$c^*$的存在性，波速$c\ \ c^*$的行波前的存在性和行波前$c\lt c^*$的不存在性。结果表明，传播速度与行波前的最小波速一致。此外，给出了扩展速度$c^*$的下界和上界估计。

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

European Journal of Applied Mathematics 数学-应用数学

CiteScore

4.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Since 2008 EJAM surveys have been expanded to cover Applied and Industrial Mathematics. Coverage of the journal has been strengthened in probabilistic applications, while still focusing on those areas of applied mathematics inspired by real-world applications, and at the same time fostering the development of theoretical methods with a broad range of applicability. Survey papers contain reviews of emerging areas of mathematics, either in core areas or with relevance to users in industry and other disciplines. Research papers may be in any area of applied mathematics, with special emphasis on new mathematical ideas, relevant to modelling and analysis in modern science and technology, and the development of interesting mathematical methods of wide applicability.