19 citations · 22 across the 4 of their papers we have counts for
6 papers
Parameter estimation for contact tracing in graph-based models
Augustine Okolie, Johannes Müller, Mirjam Kretzschmar
We adopt a maximum-likelihood framework to estimate parameters of a stochastic susceptible-infected-recovered (SIR) model with contact tracing on a rooted random tree. Given the nu…
Age structure, replicator equation, and the prisoner's dilemma
Sona John, Johannes Müller
We investigate the evolutionary dynamics of an age-structured population under weak frequency-dependent selection. It turns out that the weak selection is affected in a non-trivial…
Life-History traits and the replicator equation
Johannes Müller, Aurélien Tellier
Due to the relevance for conservation biology, there is an increasing interest to extend evolutionary genomics models to plant, animal or microbial species. However, this requires…
Global stability properties of renewal epidemic models
Michael T. Meehan, Daniel G. Cocks, Johannes Müller +1
We investigate the global dynamics of a general Kermack-McKendrick-type epidemic model formulated in terms of a system of renewal equations. Specifically, we consider a renewal mod…
Plasmid segregation and accumulation
Johannes Müller, Karin Münch, Bendix Koopmann +4
The segregation of plasmids in a bacterial population is investigated. Hereby, a dynamical model is formulated in terms of a size-structured population using a hyperbolic partial d…
The effect of delay on contact tracing
Johannes Müller, Bendix Koopmann
We consider a model for an infectious disease in the onset of an outbreak. We introduce contact tracing incorporating a tracing delay. The effect of randomness in the delay and the…