8 citations · 17 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Selection Mutation Differential Equations: Long-time Behavior of Measure-Valued Solutions
Azmy S. Akleh, John Cleveland, Horst R. Thieme
We study the long-time behavior of solutions to a measure-valued selection-mutation model that we formulated in \cite{CLEVACK}. We establish permanence results for the full model,…
Comparison of spectral radii and Collatz-Wielandt numbers for homogeneous maps, and other applications of the monotone companion norm on ordered normed vector spaces
Horst R Thieme
It is well known that an ordered normed vector space with normal cone has an order-preserving norm that is equivalent to the original norm. Such an equivalent order-prese…
Eigenvectors and eigenfunctionals of homogeneous order-preserving maps
Horst R. Thieme
This paper considers homogeneous order preserving continuous maps on the normal cone of an ordered normed vector space. It is shown that certain operators of that kind which are no…