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- W4378831281 abstract "Symmetry concepts in parametrized dynamical systems may reduce the number of external parameters by a suitable normalization prescription. If, under the action of a symmetry group G, parameter space A becomes a (locally) trivial principal bundle, A ~ A/G x G, then the normalized dynamics only depends on the quotient A/G. In this way, the dynamics of fractional variables in homogeneous epidemic SI(R)S models, with standard incidence, absence of R-susceptibility and compartment independent birth and death rates, turns out to be isomorphic to (a marginally extended version of) Hethcote's classic endemic model, first presented in 1973. The paper studies a 10-parameter master model with constant and I -linear vaccination rates, vertical transmission and a vaccination rate for susceptible newborns. As recently shown by the author, all demographic parameters are redundant. After adjusting time scale, the remaining 5-parameter model admits a 3-dimensional abelian scaling symmetry. By normalization we end up with Hethcote's extended 2-parameter model. Thus, in view of symmetry concepts, reproving theorems on endemic bifurcation and stability in such models becomes needless." @default.
- W4378831281 created "2023-06-01" @default.
- W4378831281 creator A5074645335 @default.
- W4378831281 date "2023-05-30" @default.
- W4378831281 modified "2023-09-28" @default.
- W4378831281 title "Scaling Symmetries and Parameter Reduction in Epidemic Si(r)s Models" @default.
- W4378831281 doi "https://doi.org/10.20944/preprints202305.2050.v1" @default.
- W4378831281 hasPublicationYear "2023" @default.
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