Mincheva, M. & Siegel, D. J Math Chem (2007) 42: 1135. doi:10.1007/s10910-007-9292-0
We show that solutions of a mass action chemical kinetics reaction–diffusion system are nonnegative. Conditions for components of the solution to be strictly positive or identically zero are given, based on an indexing procedure due to A. I. Volpert [Mat. Sb. (Russian) 88, 578–588 (1972); Math. USSR Sb. (English) 17, 571–582]. The results are illustrated with some examples.
Reaction-diffusion systems Chemical kinetics Positiveness