Weak and strong detonation profiles for a qualitative model

In this article, the unidirectional travelling wave fronts for a qualitative model in combustion are studied. The model is considered for a simple R →P kind of chemical reaction. By proving a general theorem of ODE’s, the weak and strong detonations for exothermic reactions are shown to exist. The uniqueness of these waves are also considered.  2002 Elsevier Science (USA). All rights reserved