3 papers
math.PR2026
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…
math.PR2026
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.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…