Nonnegativity and positiveness of solutions to mass action reaction–diffusion systems |
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| Authors: | Maya Mincheva David Siegel |
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| Affiliation: | (1) Department of Applied Mathematics, University of Waterloo, Waterloo, ON, Canada, N2L 3G1;(2) Department of Chemistry, University of Lethbridge, Lethbridge, AB, Canada, T1K 3M4;(3) Present address: Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706, USA |
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| Abstract: | 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. |
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| Keywords: | Reaction-diffusion systems Chemical kinetics Positiveness |
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