Genetic Algebras Associated with the SIR Model

The present study proposes a novel connection between the susceptible–infected–recovered (SIR) model and genetic algebras through the construction of quadratic stochastic processes (QSPs). To determine the underlying dynamics, explicit formulations of the QSP are generated and their long-term behavior is examined under different cases. Moreover, we evaluate the attributes of the related limiting genetic algebras, focusing on fundamental characteristics like Rota–Baxter operators, automorphisms, and derivations.