3 papers
q-bio.PE2025
Mathematical epidemiology of infectious diseases: an ongoing challenge
Odo Diekmann, Hisashi Inaba, Horst R. Thieme
The aim of this paper is to present an, admittedly somewhat subjective, bird's eye view of the mathematical theory concerning the spread of an infectious disease in a susceptible h…
q-bio.PE2025
Epidemic outbreaks in structured host populations
Horst R Thieme
For a heterogeneous host population, the basic reproduction number of an infectious disease, $\cR_0$, is defined as the spectral radius of the next generation operator (NGO). The t…
q-bio.PE2024
A Kermack--McKendrick type epidemic model with double threshold phenomenon (and a possible application to Covid-19)
Joan Ponce, Horst R. Thieme
The suggestion by K.L. Cooke (1967) that infected individuals become infective if they are exposed often enough for a natural disease resistance to be overcome is built into a Kerm…