6 papers
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 the d-dimensional integer lattice . For a broad class of processes…
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…
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…
Spatial Invasion of Cooperative Parasites
Vianney Brouard, Cornelia Pokalyuk, Marco Seiler +1
In this paper we study invasion probabilities and invasion times of cooperative parasites spreading in spatially structured host populations. The spatial structure of the host popu…
Contact process on a dynamical long range percolation
Marco Seiler, Anja Sturm
In this paper we introduce a contact process on a dynamical long range percolation (CPDLP) defined on a complete graph . A dynamical long range percolation is a Fe…
Contact process in an evolving random environment
Marco Seiler, Anja Sturm
In this paper we introduce a contact process in an evolving random environment (CPERE) on a connected and transitive graph with bounded degree, where we assume that this environmen…