93 citations · 313 across the 15 of their papers we have counts for
16 papers
The replacement number dynamics in SIR-type epidemic models I: From SSISS to RND picture
Florian Nill
In SIR-type epidemic models time derivative of prevalence can always be cast into the form , where is the replacement number and recovery rate is normalized…
Scaling symmetries and parameter reduction in epidemic SI(R)S models
Florian Nill
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…
On the redundancy of birth and death rates in homogenous epidemic SIR models
Florian Nill
The dynamics of fractional population sizes y_i=Y_i/N in homogeneous compartment models with time dependent total population N is analyzed. Assuming constant per capita birth and d…
Symmetries and normalization in 3-compartment epidemic models I: The replacement number dynamics
Florian Nill
As shown recently by the author, constant population SI(R)S models map to Hethcote's classic endemic model originally proposed in 1973. This unifies a whole class of models with up…
Integral Theory for Quasi-Hopf Algebras
Frank Hausser, Florian Nill
We generalize the fundamental structure Theorem on Hopf (bi)-modules by Larson and Sweedler to quasi-Hopf algebras H. If H is finite dimensional this proves the existence and uniqu…
Weak Hopf Algebras and Reducible Jones Inclusions of Depth 2. I: From Crossed products to Jones towers
Florian Nill, Kornel Szlachanyi, Hans-Werner Wiesbrock
We apply the theory of finite dimensional weak C^*-Hopf algebras A as developed by G. Böhm, F. Nill and K. Szlachányi to study reducible inclusion triples of von-Neumann algebras N…