We study a dimer-dimer irreversible catalytic reaction model A(2)+B-2 --> 2AB in three groups of lattices by means of computer simulations. We found that the properties of the phase transitions closely depend on the structure of lattices. It is found that phase diagrams exhibit three cases: abrupt discontinuous transition, first-order transition tending to extension and smooth continuous transition. A primitive explanation is given. We also investigate dynamics with desorption of B-2 dimer on the hexagonal lattice and the SG lattice. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 25]
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