Poster

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

eSMB2020 eSMB2020 Follow 2:30 - 3:30pm EDT, Monday - Wednesday
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Editha Jose

University of the Philippines Los Banos
"Complex Balanced Equilibria of Weakly Reversible Poly-PL Kinetic Systems and Evolutionary Games"
This talk 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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Virtual conference of the Society for Mathematical Biology, 2020.