Inthispaperamathematicalmodelofchemicalsystemsisinvestigated.WepresenttheconditionsfortheexistenceandlocalstabilityofthesteadystatesandtheperiodicsolutionoftheHopftype.Specifically,weshowbyusinganana-lyticalmethodthattheremayexisttwoorfourHopfbifurcationpointsseparatedatafinitedistancefromeachother;atthesametime,atechniqueforstudyingtheHopfbifurcationvalueisgiven.