Transition fronts of two species competition lattice systems in random media

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dc.contributor.authorCao, Feng
dc.contributor.authorGao, Lu
dc.date.accessioned2021-09-22T19:32:30Z
dc.date.available2021-09-22T19:32:30Z
dc.date.issued2020-04-26
dc.description.abstractThis article studies the existence and non-existence of transition fronts for a two species competition lattice system in random media, and explores the influence of randomness of the media on the wave profiles and wave speeds of such transition fronts. We first establish comparison principle for sub-solutions and super-solutions of the related cooperative system. Next, under some proper assumptions, we construct appropriate sub-solutions and super-solutions for the cooperative system. Finally, we show that random transition fronts exist if their least mean speed is greater than an explicit threshold and there is no random transition front with least mean speed less than the threshold.
dc.description.departmentMathematics
dc.formatText
dc.format.extent24 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCao, F., & Gao, L. (2020). Transition fronts of two species competition lattice systems in random media. <i>Electronic Journal of Differential Equations, 2020</i>(38), pp. 1-24.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14544
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectTransition fronts
dc.subjectCompetition systems
dc.subjectLattice systems
dc.subjectRandom media
dc.titleTransition fronts of two species competition lattice systems in random media
dc.typeArticle

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