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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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Genre: Journal Article

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

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Free keywords: REACTION NETWORKS; MASS-ACTION; POSITIVE EQUILIBRIA
 Abstract: 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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Language(s): eng - English
 Dates: 2020
 Publication Status: Published in print
 Pages: 28
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: ISI: 000529089500008
 Degree: -

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Title: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY
Source Genre: Journal
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Publ. Info: PO BOX 60, RADOJA DOMANOVICA 12, KRAGUJEVAC 34000, SERBIA : UNIV KRAGUJEVAC, FAC SCIENCE
Pages: - Volume / Issue: 83 (2) Sequence Number: - Start / End Page: 375 - 402 Identifier: ISSN: 0340-6253