Complex balanced equilibria of weakly reversible Poly-PL kinetic systems and evolutionary games

Creator

Dylan Antonio S.J. Talabis, University of the Philippines Los Banos
Daryl M. Magpantay, De La Salle University-Manila
Eduardo R. Mendoza, University of the Philippines Los Banos
Ederlina G. Nocon, De La Salle University-Manila
Editha C. Jose, University of the Philippines Los Banos

Issue Date

1-2022

Abstract

This study is concerned with chemical reaction networks endowed with polyPL 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.

Source or Periodical Title

Match-communications in Mathematical and in Computer Chemistry

ISSN

0340-6253

Volume

83

Issue

2

Page

375-402

Document Type

Article

Language

English

Recommended Citation

Talabis, D. A.S. J., Magpantay, D.M., Mendoza, E.R., Nocon, E. G. and Jose, E.C. (2020): Complex Balanced Equilibria of Weakly Reversible Poly-PL Kinetic Systems and Evolutionary Games. In: Match-Communications in Mathematical and in Computer Chemistry, Vol. 83, No. 2: pp. 375-402

Digital Copy

Yes