Transition fronts of two species competition lattice systems in random media

Autor: Feng Cao, Lu Gao
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2020, Iss 38,, Pp 1-24 (2020)
Druh dokumentu: article
ISSN: 1072-6691
Popis: This 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.
Databáze: Directory of Open Access Journals