Article ID Journal Published Year Pages File Type
4611871 Journal of Differential Equations 2012 18 Pages PDF
Abstract

This paper is devoted to the study of spatial dynamics for a class of discrete-time recursion systems, which describes the spatial propagation of two competitive invaders. The existence and global stability of bistable travelling waves are established for such systems under appropriate conditions. The methods involve the upper and lower solutions, spreading speeds of monostable systems, and the monotone semiflows approach.

Related Topics
Physical Sciences and Engineering Mathematics Analysis