Study Of The Properties Of The One-dimensional Single-edged Contact Process

The contact process is a simple and important model of nonequilibrium system, and it was given by Harris in 1974. The one-dimensional single-edged contact process in this paper is an asymmetric contact process, and it is extended by the basic contact process, obviously. This paper contains two parts. In the first part of this thesis, the main properties are introduced for the basic contact process. In the second part of this paper, the one-dimensional single-edged contact process is given, firstly. Secondly, using the stationary renewal measure and the dual way, we establish the estimation of the critical value of the one-dimensional single-edged contact process. Finally, we can obtain the set of extreme points of invariant measure by the properties of the one-dimensional single-edged contact process.