Abstract
For a chemical reaction system modeled by x =k1Ax -k2x2 -k3xy +k4y2, y =k3xy -k4y2 -k5y +k6B, it is shown that for each positive choice of parameters k1A, B there exists a unique stationary state which is globally asymptotically stable in the positive quadrant. A criterion for the non-existence of periodic solutions is given for the generalized Lotka-Volterra system:x = f(x)h(x, y), y. © 1990 J.C. Baltzer AG, Scientific Publishing Company.
Recommended Citation
R. H. Hering, "Oscillations In Lotka-Volterra Systems Of Chemical Reactions," Journal of Mathematical Chemistry, vol. 5, no. 2, pp. 197 - 202, Springer, Jun 1990.
The definitive version is available at https://doi.org/10.1007/BF01166429
Department(s)
Mathematics and Statistics
International Standard Serial Number (ISSN)
1572-8897; 0259-9791
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 Springer, All rights reserved.
Publication Date
01 Jun 1990
