Nonnegativity and positiveness of solutions to mass action reaction-diffusion systems

Journal of Mathematical Chemistry

Volumn 42, Issue 4, 2007, Pages 1135-1145

  Mincheva, Maya ^a,b,c   Siegel, David ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

^b UNIVERSITY OF LETHBRIDGE   (Canada)

^c UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

Chemical kinetics; Positiveness; Reaction diffusion systems

Indexed keywords

EID: 38149067575     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10910-007-9292-0     Document Type: Article

References (12)

1. Auchmuty J.F. (1977). Proc. R. Soc. Edinb. 79A, 183-191
2. A.I. Volpert, Mat. Sb. (Russian) 88, 578-588 (1972)
3. Math. USSR Sb. (English) 17, 571-582
4. Frankel L. (2000). Introduction to Maximum Principles and Symmetry in Elliptic Problems. Cambridge University Press, Cambridge
5. Protter M.H., Weinberger H.F. (1984). Maximum Principles in Differential Equations. Springer, New York
6. Volpert A.I., Hudyaev S.I. (1985). Analyses in Classes of Discontinuous Functions and Equations of Mathematical Physics. Martinus Nijhoff Publishers, Dordrecht
7. Volpert A.I., Volpert V.A., Volpert Vl.A. (1994). Traveling Wave Solutions of Parabolic Systems. AMS, Providence, RI
8. Smoller J. (1983). Shock Waves and Reaction-Diffusion Equations. Springer, New York
9. Erdi P., Toth J. (1989). Mathematical Models of Chemical Reactions: Theory and Applications of Deterministic and Stochastic Models. Manchester University Press, Manchester
10. Fife P.C. (1979). Mathematical Aspects of Reacting and Diffusing Systems. Springer, Berlin
11. Amann H. (1978). J. Math. Anal. Appl. 65, 432-467
12. Ladde G.S., Lakshmikantham V., Vatsala A.S. (1985). Monotone Iterative Techniques for Nonlinear Differential Equations. Pitman, Boston