In Hildebrand et al., {\it Self-Organized Chemical Nanoscale Microreactors},
 Phys.~Rev.~Lett. {\bf 83} (1999), 1475-1478, 
they presented a model for describing the process of pattern formation 
in the catalytic oxidation of CO molecules on a Pt(110) surface. 
This paper is concerned with numerical computations for their model. 
We find out various types of pattern solutions which are classified 
into three classes, i.~e. transient, evolutionary and stationary patterns.