3 papers
math.PR2025
Shape Theorem for the Contact Process in a Dynamical Random Environment
Michel Reitmeier, Marco Seiler
We study the contact process in a dynamical random environment defined on the vertices and edges of a graph. For a broad class of processes, we establish an asymptotic shape theore…
math.PR2025
Contact process with viral load
Marco Seiler
In this article, we present two novel variants of the contact process. In the first variant individuals carry a viral load. An individual with viral load zero is classified as heal…
math.PR2024
The contact process on dynamical random trees with degree dependence
Natalia Cardona-Tobón, Marcel Ortgiese, Marco Seiler +1
The contact process is a simple model for the spread of an infection in a structured population. We investigate the case when the underlying structure evolves dynamically as a degr…