Spreading speeds and travelling waves for non-monotone time-delayed lattice equations-Reference-Cited by-同舟云学术

Spreading speeds and travelling waves for non-monotone time-delayed lattice equations

Published:2010-02-03 Issue:2119 Volume:466 Page:1919-1934
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Fang Jian¹²,Wei Junjie¹,Zhao Xiao-Qiang²

Affiliation:

1. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, People’s Republic of China

2. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, Newfoundland, Canada A1C 5S7

Abstract

A non-monotone time-delayed lattice system with global interaction is considered. The spreading speed, including the upward convergence, is established by comparison arguments and a fluctuation method. The existence of travelling waves is obtained by Schauder’s fixed-point theorem and a limiting process. It turns out that the minimal wave speed of travelling waves coincides with the spreading speed.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2009.0577

Reference24 articles.

1. Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation

2. Multidimensional nonlinear diffusion arising in population genetics

3. Spatial dynamics of a nonlocal and time-delayed reaction–diffusion system

4. Nonmonotone travelling waves in a single species reaction–diffusion equation with delay

Cited by 49 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Spreading speeds for time heterogeneous prey-predator systems with nonlocal diffusion on a lattice;Journal of Differential Equations;2024-07

2. Boundedness of Traveling Waves in a Discrete Diffusion Model with Delay;Qualitative Theory of Dynamical Systems;2023-12-08

3. Traveling waves for an epidemic system with bilinear incidence in a periodic patchy environment;Journal of Differential Equations;2023-06

4. Spreading dynamics of a discrete Nicholson's blowflies equation with distributed delay;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2023-05-12

5. Entire Solutions for an Inhomogeneous Bistable Discrete Diffusive Equation;Bulletin of the Malaysian Mathematical Sciences Society;2022-12-29