43 research outputs found
Dynamical prediction of flu seasonality driven by ambient temperature: influenza vs. common cold
This work presents a comparative analysis of Influenzanet data for influenza
itself and common cold in the Netherlands during the last 5 years, from the
point of view of modelling by linearised SIRS equations parametrically driven
by the ambient temperature. It is argued that this approach allows for the
forecast of common cold, but not of influenza in a strict sense. The difference
in their kinetic models is discussed with reference to the clinical background.Comment: 6 pages, 5 figure
Spectral properties of fractional Fokker-Plank operator for the L\'evy flight in a harmonic potential
We present a detailed analysis of the eigenfunctions of the Fokker-Planck
operator for the L\'evy-Ornstein-Uhlenbeck process, their asymptotic behavior
and recurrence relations, explicit expressions in coordinate space for the
special cases of the Ornstein-Uhlenbeck process with Gaussian and with Cauchy
white noise and for the transformation kernel, which maps the fractional
Fokker-Planck operator of the Cauchy-Ornstein-Uhlenbeck process to the
non-fractional Fokker-Planck operator of the usual Gaussian Ornstein-Uhlenbeck
process. We also describe how non-spectral relaxation can be observed in
bounded random variables of the L\'evy-Ornstein-Uhlenbeck process and their
correlation functions.Comment: 10 pages, 5 figures, submitted to Euro. Phys. J.