caa a22 4500 465755100 CHVBK 20180323111845.0 cr unu---uuuuu 170327e19900601xx s 000 0 eng 10.1007/BF01166429 doi (NATIONALLICENCE)springer-10.1007/BF01166429 Hering Roger Department of Mathematics and Statistics, University of Missouri-Rolla, 65401, Rolla, Missouri, USA aut Oscillations in Lotka-Volterra systems of chemical reactions [Elektronische Daten] [Roger Hering] For a chemical reaction system modeled byx =k 1 Ax −k 2 x 2 −k 3 xy +k 4 y 2,y =k 3 xy −k 4 y 2 −k 5 y +k 6 B, it is shown that for each positive choice of parametersk i A, 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. J.C. Baltzer AG, Scientific Publishing Company, 1990 Journal of Mathematical Chemistry Kluwer Academic Publishers 5/2(1990-06-01), 197-202 0259-9791 5:2<197 1990 5 10910 https://doi.org/10.1007/BF01166429 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01166429 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Hering Roger Department of Mathematics and Statistics, University of Missouri-Rolla, 65401, Rolla, Missouri, USA aut NATIONALLICENCE 773 0- Journal of Mathematical Chemistry Kluwer Academic Publishers 5/2(1990-06-01), 197-202 0259-9791 5:2<197 1990 5 10910 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer