Traveling waves and spreading speed on a lattice model with age structure

In this article, we study a lattice differential model for a single species with distributed age-structure in an infinite patchy environment. Using method of approaches by Diekmann and Thieme, we develop a comparison principle and construct a suitable sub-solution to the given model, and show th...

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Bibliographic Details
Main Author:	Zongyi Wang
Format:	Article
Language:	English
Published:	Texas State University 2012-09-01
Series:	Electronic Journal of Differential Equations
Subjects:	Lattice differential system spreading speed traveling wave minimal wave speed
Online Access:	http://ejde.math.txstate.edu/Volumes/2012/161/abstr.html

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spelling	doaj-0581a9e4cc894dc9828a63cf787dc8ac2020-11-24T23:05:20ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-09-012012161,115Traveling waves and spreading speed on a lattice model with age structureZongyi WangIn this article, we study a lattice differential model for a single species with distributed age-structure in an infinite patchy environment. Using method of approaches by Diekmann and Thieme, we develop a comparison principle and construct a suitable sub-solution to the given model, and show that there exists a spreading speed of the system which in fact coincides with the minimal wave speed. http://ejde.math.txstate.edu/Volumes/2012/161/abstr.htmlLattice differential systemspreading speedtraveling waveminimal wave speed
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zongyi Wang
spellingShingle	Zongyi Wang Traveling waves and spreading speed on a lattice model with age structure Electronic Journal of Differential Equations Lattice differential system spreading speed traveling wave minimal wave speed
author_facet	Zongyi Wang
author_sort	Zongyi Wang
title	Traveling waves and spreading speed on a lattice model with age structure
title_short	Traveling waves and spreading speed on a lattice model with age structure
title_full	Traveling waves and spreading speed on a lattice model with age structure
title_fullStr	Traveling waves and spreading speed on a lattice model with age structure
title_full_unstemmed	Traveling waves and spreading speed on a lattice model with age structure
title_sort	traveling waves and spreading speed on a lattice model with age structure
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2012-09-01
description	In this article, we study a lattice differential model for a single species with distributed age-structure in an infinite patchy environment. Using method of approaches by Diekmann and Thieme, we develop a comparison principle and construct a suitable sub-solution to the given model, and show that there exists a spreading speed of the system which in fact coincides with the minimal wave speed.
topic	Lattice differential system spreading speed traveling wave minimal wave speed
url	http://ejde.math.txstate.edu/Volumes/2012/161/abstr.html
work_keys_str_mv	AT zongyiwang travelingwavesandspreadingspeedonalatticemodelwithagestructure
_version_	1725626220096258048

Traveling waves and spreading speed on a lattice model with age structure

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