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  Complex Balanced Equilibria of Weakly Reversible Poly-PL Kinetic Systems and Evolutionary Games

Talabis, D. A. S. J., Magpantay, D. M., Mendoza, E. R., Nocon, E. G., & Jose, E. C. (2020). Complex Balanced Equilibria of Weakly Reversible Poly-PL Kinetic Systems and Evolutionary Games. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 83(2), 375-402.

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 Urheber:
Talabis, Dylan Antonio S. J.1, Autor
Magpantay, Daryl M.1, Autor
Mendoza, Eduardo R.2, Autor           
Nocon, Ederlina G.1, Autor
Jose, Editha C.1, Autor
Affiliations:
1external, ou_persistent22              
2Oesterhelt, Dieter / Membrane Biochemistry, Max Planck Institute of Biochemistry, Max Planck Society, ou_1565164              

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Schlagwörter: REACTION NETWORKS; MASS-ACTION; POSITIVE EQUILIBRIA
 Zusammenfassung: This study is concerned with chemical reaction networks endowed with poly-PL kinetics, that is, the positive linear combination of power law kinetic systems. We discovered that complex balanced equilibria exist for weakly reversible poly-PL kinetics with zero kinetic reactant deficiency. The result is then applied to evolutionary games with replicator dynamics such that the polynomial payoff functions lead to polynomial kinetic systems, a subset of poly-PL kinetic systems. In particular, sufficient conditions to admit a zero kinetic reactant deficiency were derived for games with nonlinear payoff functions and poly-PL kinetics, allowing the application of the main result.

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Sprache(n): eng - English
 Datum: 2020
 Publikationsstatus: Erschienen
 Seiten: 28
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: ISI: 000529089500008
 Art des Abschluß: -

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Titel: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY
Genre der Quelle: Zeitschrift
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: PO BOX 60, RADOJA DOMANOVICA 12, KRAGUJEVAC 34000, SERBIA : UNIV KRAGUJEVAC, FAC SCIENCE
Seiten: - Band / Heft: 83 (2) Artikelnummer: - Start- / Endseite: 375 - 402 Identifikator: ISSN: 0340-6253