Rosacea (in German sometimes called ‘Kupferfinne’, in French ‘Couperose’ and in Italian ‘Copparosa’)
is a chronic and frequently relapsing inflammatory skin disease primarily …

The main obstacle for the evolution of cooperation is that natural selection favors defection
in most settings. In the repeated prisoner's dilemma, two individuals interact several times, …

This note characterizes the impact of adding rare stochastic mutations to an “imitation
dynamic,” meaning a process with the properties that absent strategies remain absent, and non-…

We first introduce and analyze a variant of the deterministic single-substrate chemostat model.
In this model, microbe removal and growth rates depend on biomass concentration, with …

Evolutionary game dynamics in finite populations can be described by a frequency dependent,
stochastic Wright-Fisher process. We consider a symmetric game between two strategies, …

The repeated Prisoner's Dilemma is usually known as a story of tit-for-tat (TFT). This
remarkable strategy has won both of Robert Axelrod's tournaments. TFT does whatever the …

Health care professionals, including nurses and doctors, are also going through a very
intensive and perhaps traumatic time. As a nurse working in the ICU reported,“Many people die …

We study stochastic game dynamics in finite populations. To this end we extend the classical
Moran process to incorporate frequency-dependent selection and mutation. For 2×2 games…

Over-the-counter antiaging formulations aim to prevent or minimize the signs of aging skin,
and to maintain the benefits obtained from different cosmetic procedures. Even though a …

In stochastic dynamical systems, different concepts of stability can be obtained in different
limits. A particularly interesting example is evolutionary game theory, which is traditionally …