Travelling wave solutions for delayed lattice reaction-diffusion systems

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109303

Title:	Travelling wave solutions for delayed lattice reaction-diffusion systems
Authors:	許正雄;Hsu, C.-H.;Lin, J.-J.;Yang, T.-S.
Contributors:	理學院數學系
Keywords:	Convergence;Epidemics;Iterative methods;Lattices;Mathematical models;Nonlinearity;Sequences;Traveling waves
Date:	2015-01-03
Issue Date:	2026-04-23 16:25:16 (UTC+8)
Publisher:	Oxford University Press
Abstract:	摘要： In this work, we investigate the existence of increasing travelling wave solutions for a class of delayed lattice reaction-diffusion systems. The systems arise from various epidemic and biological models. Instead of using the monotone iteration technique, in this article we first consider a sequence of truncated problems and obtain increasing solutions of the truncated problems. Then, combining solutions of the truncated problems with positive super-solutions of the reaction-diffusion systems and using Helly's convergence lemma, we establish the existence of increasing travelling wave solutions. Moreover, for different non-linearities, we provide some necessary conditions of wave speed for the existence of travelling wave solutions and apply our results to several models. 出版日期： 2015-04-01 出處： IMA journal of applied mathematics, 2015-04, Vol.80 (2), p.302-323 識別號： ISSN: 0272-4960 識別號： EISSN: 1464-3634 識別號： DOI: 10.1093/imamat/hxt039
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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